Alternating direction implicit methods for two-dimensional diffusion with a non-local boundary condition. - Mehdi Dehghan 002 (Int. J. Comput. Math., 1999)

A finite difference method for a non-local boundary value problem for two-dimensional heat equation. - Mehdi Dehghan 002 (Appl. Math. Comput., 2000)

Finite difference schemes for two-dimensional parabolic inverse problem with temperature overspecification. - Mehdi Dehghan 002 (Int. J. Comput. Math., 2000)

Crank-Nicolson finite difference method for two-dimensional diffusion with an integral condition. - Mehdi Dehghan 002 (Appl. Math. Comput., 2001)

Numerical methods for two-dimensional parabolic inverse problem with energy overspecification. - Mehdi Dehghan 002 (Int. J. Comput. Math., 2001)

Numerical techniques for a parabolic equation subject to an overspecified boundary condition. - Mehdi Dehghan 002 (Appl. Math. Comput., 2002)

Fractional step methods for parabolic equations with a non-standard condition. - Mehdi Dehghan 002 (Appl. Math. Comput., 2003)

Identifying a control function in two-dimensional parabolic inverse problems. - Mehdi Dehghan 002 (Appl. Math. Comput., 2003)

Numerical solution of a parabolic equation with non-local boundary specifications. - Mehdi Dehghan 002 (Appl. Math. Comput., 2003)

Parallel techniques for a boundary value problem with non-classic boundary conditions. - Mehdi Dehghan 002 (Appl. Math. Comput., 2003)

Locally explicit schemes for three-dimensional diffusion with a non-local boundary specification. - Mehdi Dehghan 002 (Appl. Math. Comput., 2003)

Finding a control parameter in one-dimensional parabolic equations. - Mehdi Dehghan 002 (Appl. Math. Comput., 2003)

Numerical solution of one-dimensional parabolic inverse problem. - Mehdi Dehghan 002 (Appl. Math. Comput., 2003)

The Determination of a Control Parameter in a Two-Dimensional Diffusion Equation Using a Dual-Reciprocity Boundary Element Method. - Whye-Teong Ang; Keng-Cheng Ang; Mehdi Dehghan 002 (Int. J. Comput. Math., 2003)

Saulyev's Techniques for Solving a Parabolic Equation with a Non Linear Boundary Specification. - Mehdi Dehghan 002 (Int. J. Comput. Math., 2003)

Determination of a control function in three-dimensional parabolic equations. - Mehdi Dehghan 002 (Math. Comput. Simul., 2003)

Application of the Adomian decomposition method for two-dimensional parabolic equation subject to nonstandard boundary specifications. - Mehdi Dehghan 002 (Appl. Math. Comput., 2004)

Three-level techniques for one-dimensional parabolic equation with nonlinear initial condition. - Mehdi Dehghan 002 (Appl. Math. Comput., 2004)

Numerical solution of the three-dimensional advection-diffusion equation. - Mehdi Dehghan 002 (Appl. Math. Comput., 2004)

Numerical procedures for a boundary value problem with a non-linear boundary condition. - Mehdi Dehghan 002 (Appl. Math. Comput., 2004)

Weighted finite difference techniques for the one-dimensional advection-diffusion equation. - Mehdi Dehghan 002 (Appl. Math. Comput., 2004)

Numerical schemes for one-dimensional parabolic equations with nonstandard initial condition. - Mehdi Dehghan 002 (Appl. Math. Comput., 2004)

Numerical computation of a control function in a partial differential equation. - Mehdi Dehghan 002 (Appl. Math. Comput., 2004)

Numerical solution of a parabolic equation subject to specification of energy. - Mehdi Dehghan 002 (Appl. Math. Comput., 2004)

The use of Adomian decomposition method for solving the one-dimensional parabolic equation with non-local boundary specifications. - Mehdi Dehghan 002 (Int. J. Comput. Math., 2004)

The solution of a nonclassic problem for one-dimensional hyperbolic equation using the decomposition procedure. - Mehdi Dehghan 002 (Int. J. Comput. Math., 2004)

Numerical approximations for solving a time-dependent partial differential equation with non-classical specification on four boundaries. - Mehdi Dehghan 002 (Appl. Math. Comput., 2005)

Quasi-implicit and two-level explicit finite-difference procedures for solving the one-dimensional advection equation. - Mehdi Dehghan 002 (Appl. Math. Comput., 2005)

On the recursive sequence xn+1 = (a + bxn-k+1gxn-2k+1) / (Bxn-k+1 + Cxn-2k+1). - Mehdi Dehghan 002; Majid Jaberi Douraki (Appl. Math. Comput., 2005)

Dynamics of a rational difference equation using both theoretical and computational approaches. - Mehdi Dehghan 002; Majid Jaberi Douraki; Marjan Jaberi Douraki (Appl. Math. Comput., 2005)

The semi-open Newton-Cotes quadrature rule and its numerical improvement. - Mehdi Dehghan 002; M. Masjed-Jamei; M. R. Eslahchi (Appl. Math. Comput., 2005)

On numerical improvement of closed Newton-Cotes quadrature rules. - Mehdi Dehghan 002; M. Masjed-Jamei; M. R. Eslahchi (Appl. Math. Comput., 2005)

On numerical improvement of the second kind of Gauss-Chebyshev quadrature rules. - Mehdi Dehghan 002; M. Masjed-Jamei; M. R. Eslahchi (Appl. Math. Comput., 2005)

On the global behavior of higher order recursive sequences. - Majid Jaberi Douraki; Mehdi Dehghan 002; A. Razavi (Appl. Math. Comput., 2005)

The qualitative behavior of solutions of a nonlinear difference equation. - Majid Jaberi Douraki; Mehdi Dehghan 002; Mohsen Razzaghi (Appl. Math. Comput., 2005)

The equal coefficients quadrature rules and their numerical improvement. - M. R. Eslahchi; Mehdi Dehghan 002; M. Masjed-Jamei (Appl. Math. Comput., 2005)

On numerical improvement of the first kind Gauss-Chebyshev quadrature rules. - M. R. Eslahchi; Mehdi Dehghan 002; M. Masjed-Jamei (Appl. Math. Comput., 2005)

The first kind Chebyshev-Newton-Cotes quadrature rules (closed type) and its numerical improvement. - M. R. Eslahchi; Mehdi Dehghan 002; M. Masjed-Jamei (Appl. Math. Comput., 2005)

On numerical improvement of Gauss-Radau quadrature rules. - Mohammad Masjed-Jamei; M. R. Eslahchi; Mehdi Dehghan 002 (Appl. Math. Comput., 2005)

The first kind Chebyshev-Lobatto quadrature rule and its numerical improvement. - M. Masjed-Jamei; S. M. Hashemiparast; M. R. Eslahchi; Mehdi Dehghan 002 (Appl. Math. Comput., 2005)

Study of a system of non-linear difference equations arising in a deterministic model for HIV infection. - Mostafa Nasri; Mehdi Dehghan 002; Majid Jaberi Douraki (Appl. Math. Comput., 2005)

Hartley series approximations for the parabolic equations. - Abbas Saadatmandi; Mohsen Razzaghi; Mehdi Dehghan 002 (Int. J. Comput. Math., 2005)

Parameter determination in a partial differential equation from the overspecified data. - Mehdi Dehghan 002 (Math. Comput. Model., 2005)

Sinc-galerkin solution for nonlinear two-point boundary value problems with applications to chemical reactor theory. - Abbas Saadatmandi; Mohsen Razzaghi; Mehdi Dehghan 002 (Math. Comput. Model., 2005)

A symmetric sequence of orthogonal polynomials associated with the Stieltjes-Wigert polynomials. - Kamal Aghigh; M. Masjed-Jamei; Mehdi Dehghan 002 (Appl. Math. Comput., 2006)

On numerical integration methods with the generalized Stieltjes weight function. - Kamal Aghigh; M. Masjed-Jamei; Mehdi Dehghan 002 (Appl. Math. Comput., 2006)

Application of Gauss quadrature rule in finding bounds for solution of linear systems of equations. - Esmail Babolian; Mehdi Dehghan 002; M. R. Eslahchi (Appl. Math. Comput., 2006)

On numerical integration methods with T-distribution weight function. - Esmail Babolian; Mohammad Masjed-Jamei; M. R. Eslahchi; Mehdi Dehghan 002 (Appl. Math. Comput., 2006)

The oscillatory character of the recursive sequence xn+1=(alpha+beta xn-k+1)/(A+Bxn-2k+1). - Mehdi Dehghan 002; Majid Jaberi Douraki (Appl. Math. Comput., 2006)

Global stability of a higher order rational recursive sequence. - Mehdi Dehghan 002; Majid Jaberi Douraki; Mohsen Razzaghi (Appl. Math. Comput., 2006)

Solution of the fully fuzzy linear systems using the decomposition procedure. - Mehdi Dehghan 002; Behnam Hashemi (Appl. Math. Comput., 2006)

Iterative solution of fuzzy linear systems. - Mehdi Dehghan 002; Behnam Hashemi (Appl. Math. Comput., 2006)

Computational methods for solving fully fuzzy linear systems. - Mehdi Dehghan 002; Behnam Hashemi; Mehdi Ghatee (Appl. Math. Comput., 2006)

On the recursive sequence xn+1=(alpha + beta xn-k+1) / (A + Bxn-k+1 + Cxn-2k+1). - Mehdi Dehghan 002; Reza Mazrooei-Sebdani (Appl. Math. Comput., 2006)

Dynamics of a higher-order rational difference equation. - Mehdi Dehghan 002; Reza Mazrooei-Sebdani (Appl. Math. Comput., 2006)

Multigrid solution of high order discretisation for three-dimensional biharmonic equation with Dirichlet boundary conditions of second kind. - Mehdi Dehghan 002; Akbar Mohebbi (Appl. Math. Comput., 2006)

The characteristics of a higher-order rational difference equation. - Mehdi Dehghan 002; Reza Mazrooei-Sebdani (Appl. Math. Comput., 2006)

Weighted quadrature rules with weight function x-pe-1/x on [0, infinity). - Mehdi Dehghan 002; M. Masjed-Jamei; M. R. Eslahchi (Appl. Math. Comput., 2006)

On numerical improvement of open Newton-Cotes quadrature rules. - Mehdi Dehghan 002; Mohammad Masjed-Jamei; M. R. Eslahchi (Appl. Math. Comput., 2006)

On the higher order rational recursive sequence xn=(A/nn-k) + (B/xn-3k). - Majid Jaberi Douraki; Mehdi Dehghan 002; Mohsen Razzaghi (Appl. Math. Comput., 2006)

Oscillation and asymptotic behavior of a class of higher order nonlinear recursive sequences. - Majid Jaberi Douraki; Mehdi Dehghan 002; Mohsen Razzaghi (Appl. Math. Comput., 2006)

Minimizing the error function of Gauss-Jacobi quadrature rule with respect to parameters alpha and beta. - S. M. Hashemiparast; M. R. Eslahchi; Mehdi Dehghan 002 (Appl. Math. Comput., 2006)

Determination of nodes in numerical integration rules using difference equation. - S. M. Hashemiparast; M. R. Eslahchi; Mehdi Dehghan 002 (Appl. Math. Comput., 2006)

A note on equal coefficient quadrature rules. - S. M. Hashemiparast; M. R. Eslahchi; Mehdi Dehghan 002 (Appl. Math. Comput., 2006)

Numerical integration using the derivatives. - S. M. Hashemiparast; M. R. Eslahchi; Mehdi Dehghan 002 (Appl. Math. Comput., 2006)

The first kind Chebyshev-Newton-Cotes quadrature rules (semi-open type) and its numerical improvement. - S. M. Hashemiparast; M. R. Eslahchi; Mehdi Dehghan 002; M. Masjed-Jamei (Appl. Math. Comput., 2006)

On selection of the best coefficients in interpolatory quadrature rules. - S. M. Hashemiparast; M. Masjed-Jamei; Mehdi Dehghan 002 (Appl. Math. Comput., 2006)

The second kind Chebyshev-Newton-Cotes quadrature rule (open type) and its numerical improvement. - S. M. Hashemiparast; M. Masjed-Jamei; M. R. Eslahchi; Mehdi Dehghan 002 (Appl. Math. Comput., 2006)

On some statistical integral equations. - M. Masjed-Jamei; Mehdi Dehghan 002 (Appl. Math. Comput., 2006)

The second kind Chebyshev quadrature rules of semi-open type and its numerical improvement. - M. Masjed-Jamei; S. M. Hashemiparast; M. R. Eslahchi; Mehdi Dehghan 002 (Appl. Math. Comput., 2006)

Dynamics of a non-linear difference equation. - Reza Mazrooei-Sebdani; Mehdi Dehghan 002 (Appl. Math. Comput., 2006)

The study of a class of rational difference equations. - Reza Mazrooei-Sebdani; Mehdi Dehghan 002 (Appl. Math. Comput., 2006)

Global stability of yn+1=(p+qxn+ryn-k)/(1+yn). - Reza Mazrooei-Sebdani; Mehdi Dehghan 002 (Appl. Math. Comput., 2006)

A Tau Method for the One-Dimensional Parabolic Inverse Problem Subject to Temperature Overspecification. - Mehdi Dehghan 002; Abbas Saadatmandi (Comput. Math. Appl., 2006)

Solution of a partial integro-differential equation arising from viscoelasticity. - Mehdi Dehghan 002 (Int. J. Comput. Math., 2006)

The solution of a second-order nonlinear differential equation with Neumann boundary conditions using semi-orthogonal B-spline wavelets. - Mehrdad Lakestani; Mehdi Dehghan 002 (Int. J. Comput. Math., 2006)

A statistical approach for economization of the polynomial functions. - M. Masjed-Jamei; M. R. Eslahchi; Mehdi Dehghan 002 (Int. J. Comput. Math., 2006)

Determination of a time-dependent parameter in a one-dimensional quasi-linear parabolic equation with temperature overspecification. - Mehdi Tatari; Mehdi Dehghan 002; Mohsen Razzaghi (Int. J. Comput. Math., 2006)

Determination of a control parameter in a one-dimensional parabolic equation using the method of radial basis functions. - Mehdi Dehghan 002; Mehdi Tatari (Math. Comput. Model., 2006)

Finite difference procedures for solving a problem arising in modeling and design of certain optoelectronic devices. - Mehdi Dehghan 002 (Math. Comput. Simul., 2006)

Numerical solution of the nonlinear Fredholm integral equations by positive definite functions. - Amjad Alipanah; Mehdi Dehghan 002 (Appl. Math. Comput., 2007)

The solution of coupled Burgers' equations using Adomian-Pade technique. - Mehdi Dehghan 002; Asgar Hamidi; Mohammad Shakourifar (Appl. Math. Comput., 2007)

Comparison of preconditioning techniques for solving linear systems arising from the fourth order approximation of the three-dimensional elliptic equation. - Mehdi Dehghan 002; Seyedeh Mahboubeh Molavi-Arabshahi (Appl. Math. Comput., 2007)

A simple form for the fourth order difference method for 3-D elliptic equations. - Mehdi Dehghan 002; Seyedeh Mahboubeh Molavi-Arabshahi (Appl. Math. Comput., 2007)

Dynamics of xn-1 = xn-2k+1/(xn-2k+1+alpha xn-2l). - Mehdi Dehghan 002; Reza Mazrooei-Sebdani (Appl. Math. Comput., 2007)

A probabilistic model for quadrature rules. - M. Masjed-Jamei; Mehdi Dehghan 002 (Appl. Math. Comput., 2007)

Preconditioned techniques for solving large sparse linear systems arising from the discretization of the elliptic partial differential equations. - Seyedeh Mahboubeh Molavi-Arabshahi; Mehdi Dehghan 002 (Appl. Math. Comput., 2007)

Some implicit methods for the numerical solution of Burgers' equation. - S. Amir Hossein A. E. Tabatabaei; Elham Shakour; Mehdi Dehghan 002 (Appl. Math. Comput., 2007)

A numerical method for two-dimensional Schrödinger equation using collocation and radial basis functions. - Mehdi Dehghan 002; Ali Shokri 001 (Comput. Math. Appl., 2007)

Numerical solution of a biological population model using He's variational iteration method. - Fatemeh Shakeri; Mehdi Dehghan 002 (Comput. Math. Appl., 2007)

Identifying a control function in parabolic partial differential equations from overspecified boundary data. - Mehdi Tatari; Mehdi Dehghan 002 (Comput. Math. Appl., 2007)

Determination of the degrees of P-property and nonnegative invertibility for a fuzzy matrix. - Mehdi Dehghan 002; Behnam Hashemi (Int. J. Approx. Reason., 2007)

Time-splitting procedures for the solution of the two-dimensional transport equation. - Mehdi Dehghan 002 (Kybernetes, 2007)

On a recursive sequence. - Mehdi Dehghan 002; Reza Mazrooei-Sebdani (Kybernetes, 2007)

The numerical solution of a nonlinear system of second-order boundary value problems using the sinc-collocation method. - Mehdi Dehghan 002; Abbas Saadatmandi (Math. Comput. Model., 2007)

Application of the Adomian decomposition method for the Fokker-Planck equation. - Mehdi Tatari; Mehdi Dehghan 002; Mohsen Razzaghi (Math. Comput. Model., 2007)

A survey on third and fourth kind of Chebyshev polynomials and their applications. - Kamal Aghigh; Mohammad Masjed-Jamei; Mehdi Dehghan 002 (Appl. Math. Comput., 2008)

An iterative algorithm for the reflexive solutions of the generalized coupled Sylvester matrix equations and its optimal approximation. - Mehdi Dehghan 002; Masoud Hajarian (Appl. Math. Comput., 2008)

An iterative algorithm for solving a pair of matrix equations AYB=E, CYD=F over generalized centro-symmetric matrices. - Mehdi Dehghan 002; Masoud Hajarian (Comput. Math. Appl., 2008)

Dynamics of the difference equation xn+1 = (xn+pxn-k)/(xn+q). - Majid Jaberi Douraki; Mehdi Dehghan 002; Javad Mashreghi (Comput. Math. Appl., 2008)

The solution and duality of imprecise network problems. - Mehdi Ghatee; S. Mehdi Hashemi; Behnam Hashemi; Mehdi Dehghan 002 (Comput. Math. Appl., 2008)

A generalization of Fourier trigonometric series. - Mohammad Masjed-Jamei; Mehdi Dehghan 002 (Comput. Math. Appl., 2008)

The method of lines for solution of the one-dimensional wave equation subject to an integral conservation condition. - Fatemeh Shakeri; Mehdi Dehghan 002 (Comput. Math. Appl., 2008)

On the numerical solution of nonlinear systems of Volterra integro-differential equations with delay arguments. - Mohammad Shakourifar; Mehdi Dehghan 002 (Computing, 2008)

A non-trivial relation between some many-dimensional chaotic discrete dynamical systems and some one-dimensional chaotic discrete dynamical systems. - Reza Mazrooei-Sebdani; Mehdi Dehghan 002 (Comput. Phys. Commun., 2008)

Numerical solution of nonlinear system of second-order boundary value problems using cubic B-spline scaling functions. - Mehdi Dehghan 002; Mehrdad Lakestani (Int. J. Comput. Math., 2008)

Chebyshev finite difference method for Fredholm integro-differential equation. - Mehdi Dehghan 002; Abbas Saadatmandi (Int. J. Comput. Math., 2008)

Some Computations on Fuzzy Matrices: an Application in Fuzzy Analytical Hierarchy Process. - Mehdi Dehghan 002; Mehdi Ghatee; Behnam Hashemi (Int. J. Uncertain. Fuzziness Knowl. Based Syst., 2008)

Solution of population balance equations via rationalized Haar functions. - Amjad Alipanah; Mehdi Dehghan 002 (Kybernetes, 2008)

Some characteristics of solutions of a class of rational difference equations. - Mehdi Dehghan 002; Reza Mazrooei-Sebdani (Kybernetes, 2008)

Solution of the two dimensional second biharmonic equation with high-order accuracy. - Mehdi Dehghan 002; Akbar Mohebbi (Kybernetes, 2008)

A new technique for solution of a parabolic inverse problem. - Mehrdad Lakestani; Mehdi Dehghan 002 (Kybernetes, 2008)

Solution of delay differential equations via a homotopy perturbation method. - Fatemeh Shakeri; Mehdi Dehghan 002 (Math. Comput. Model., 2008)

Solution of a model describing biological species living together using the variational iteration method. - Fatemeh Shakeri; Mehdi Dehghan 002 (Math. Comput. Model., 2008)

High-order compact boundary value method for the solution of unsteady convection-diffusion problems. - Mehdi Dehghan 002; Akbar Mohebbi (Math. Comput. Simul., 2008)

A numerical method for solution of the two-dimensional sine-Gordon equation using the radial basis functions. - Mehdi Dehghan 002; Ali Shokri 001 (Math. Comput. Simul., 2008)

A lower bound for the product of eigenvalues of solutions to matrix equations. - Mehdi Dehghan 002; Masoud Hajarian (Appl. Math. Lett., 2009)

Quadrature rules using an arbitrary fixed order of derivatives. - M. R. Eslahchi; Mehdi Dehghan 002 (Comput. Math. Appl., 2009)

The convergence of He's variational iteration method for solving integral equations. - Reza Saadati; Mehdi Dehghan 002; S. Mansour Vaezpour; M. Saravi (Comput. Math. Appl., 2009)

Variational iteration method for solving a generalized pantograph equation. - Abbas Saadatmandi; Mehdi Dehghan 002 (Comput. Math. Appl., 2009)

Improvement of He's variational iteration method for solving systems of differential equations. - Mehdi Tatari; Mehdi Dehghan 002 (Comput. Math. Appl., 2009)

He's variational iteration method for solving nonlinear mixed Volterra-Fredholm integral equations. - Sohrab Ali Yousefi; Ali Lotfi; Mehdi Dehghan 002 (Comput. Math. Appl., 2009)

Meshless local boundary integral equation (LBIE) method for the unsteady magnetohydrodynamic (MHD) flow in rectangular and circular pipes. - Mehdi Dehghan 002; Davoud Mirzaei (Comput. Phys. Commun., 2009)

On the global behavior of a high-order rational difference equation. - Mehdi Dehghan 002; Narges Rastegar (Comput. Phys. Commun., 2009)

Inverse of a fuzzy matrix of fuzzy numbers. - Mehdi Dehghan 002; Mehdi Ghatee; Behnam Hashemi (Int. J. Comput. Math., 2009)

Determination of a matrix function using the divided difference method of Newton and the interpolation technique of Hermite. - Mehdi Dehghan 002; Masoud Hajarian (J. Comput. Appl. Math., 2009)

Direct numerical method for an inverse problem of a parabolic partial differential equation. - Wenyuan Liao; Mehdi Dehghan 002; Akbar Mohebbi (J. Comput. Appl. Math., 2009)

Rational Legendre pseudospectral approach for solving nonlinear differential equations of Lane-Emden type. - K. Parand 001; Mehdi Shahini; Mehdi Dehghan 002 (J. Comput. Phys., 2009)

Finite iterative algorithms for the reflexive and anti-reflexive solutions of the matrix equation A1X1B1+A2X2B2=C. - Mehdi Dehghan 002; Masoud Hajarian (Math. Comput. Model., 2009)

Fourth-order compact solution of the nonlinear Klein-Gordon equation. - Mehdi Dehghan 002; Akbar Mohebbi; Zohreh Asgari (Numer. Algorithms, 2009)

Method of lines solutions of the parabolic inverse problem with an overspecification at a point. - Mehdi Dehghan 002; Fatemeh Shakeri (Numer. Algorithms, 2009)

A meshless method for numerical solution of the one-dimensional wave equation with an integral condition using radial basis functions. - Mehdi Dehghan 002; Ali Shokri 001 (Numer. Algorithms, 2009)

Convergence of SSOR methods for linear complementarity problems. - Mehdi Dehghan 002; Masoud Hajarian (Oper. Res. Lett., 2009)

Best uniform polynomial approximation of some rational functions. - Mehdi Dehghan 002; M. R. Eslahchi (Comput. Math. Appl., 2010)

Matrix equations over (R, S)-symmetric and (R, S)-skew symmetric matrices. - Mehdi Dehghan 002; Masoud Hajarian (Comput. Math. Appl., 2010)

A new operational matrix for solving fractional-order differential equations. - Abbas Saadatmandi; Mehdi Dehghan 002 (Comput. Math. Appl., 2010)

Numerical solution of the higher-order linear Fredholm integro-differential-difference equation with variable coefficients. - Abbas Saadatmandi; Mehdi Dehghan 002 (Comput. Math. Appl., 2010)

Numerical simulation of two-dimensional sine-Gordon solitons via a local weak meshless technique based on the radial point interpolation method (RPIM). - Mehdi Dehghan 002; Arezou Ghesmati (Comput. Phys. Commun., 2010)

Application of the dual reciprocity boundary integral equation technique to solve the nonlinear Klein-Gordon equation. - Mehdi Dehghan 002; Arezou Ghesmati (Comput. Phys. Commun., 2010)

Solution of a nonlinear time-delay model in biology via semi-analytical approaches. - Mehdi Dehghan 002; Rezvan Salehi (Comput. Phys. Commun., 2010)

A compact split-step finite difference method for solving the nonlinear Schrödinger equations with constant and variable coefficients. - Mehdi Dehghan 002; Ameneh Taleei (Comput. Phys. Commun., 2010)

Numerical solution of Riccati equation using the cubic B-spline scaling functions and Chebyshev cardinal functions. - Mehrdad Lakestani; Mehdi Dehghan 002 (Comput. Phys. Commun., 2010)

Collocation and finite difference-collocation methods for the solution of nonlinear Klein-Gordon equation. - Mehrdad Lakestani; Mehdi Dehghan 002 (Comput. Phys. Commun., 2010)

High-order scheme for determination of a control parameter in an inverse problem from the over-specified data. - Akbar Mohebbi; Mehdi Dehghan 002 (Comput. Phys. Commun., 2010)

An approximation algorithm for the solution of the nonlinear Lane-Emden type equations arising in astrophysics using Hermite functions collocation method. - K. Parand 001; Mehdi Dehghan 002; A. R. Rezaei; S. M. Ghaderi (Comput. Phys. Commun., 2010)

A Not-a-Knot meshless method using radial basis functions and predictor-corrector scheme to the numerical solution of improved Boussinesq equation. - Ali Shokri 001; Mehdi Dehghan 002 (Comput. Phys. Commun., 2010)

Chaotic Behavior and Dynamics of Maps Used in a Method of Scrambling Signals. - Reza Mazrooei-Sebdani; Mehdi Dehghan 002 (Int. J. Bifurc. Chaos, 2010)

New iterative method for solving non-linear equations with fourth-order convergence. - Mehdi Dehghan 002; Masoud Hajarian (Int. J. Comput. Math., 2010)

Analytical methods: the next frontier towards nonlinear science. - Mehdi Dehghan 002; Ji-Huan He; Abdul-Majid Wazwaz (Int. J. Comput. Math., 2010)

Finding approximate solutions for a class of third-order non-linear boundary value problems via the decomposition method of Adomian. - Mehdi Dehghan 002; Mehdi Tatari (Int. J. Comput. Math., 2010)

Numerical solution of fourth-order integro-differential equations using Chebyshev cardinal functions. - Mehrdad Lakestani; Mehdi Dehghan 002 (Int. J. Comput. Math., 2010)

Computation of two time-dependent coefficients in a parabolic partial differential equation subject to additional specifications. - Abbas Saadatmandi; Mehdi Dehghan 002 (Int. J. Comput. Math., 2010)

Solution of the differential algebraic equations via homotopy perturbation method and their engineering applications. - Fahimeh Soltanian; Mehdi Dehghan 002; Seyed-Mehdi Karbassi (Int. J. Comput. Math., 2010)

The use of He's variational iteration method for solving variational problems. - Sohrab Ali Yousefi; Mehdi Dehghan 002 (Int. J. Comput. Math., 2010)

Finding the optimal control of linear systems via He's variational iteration method. - Sohrab Ali Yousefi; Mehdi Dehghan 002; Ali Lotfi (Int. J. Comput. Math., 2010)

On the reflexive and anti-reflexive solutions of the generalised coupled Sylvester matrix equations. - Mehdi Dehghan 002; Masoud Hajarian (Int. J. Syst. Sci., 2010)

The use of Chebyshev cardinal functions for the solution of a partial differential equation with an unknown time-dependent coefficient subject to an extra measurement. - Mehrdad Lakestani; Mehdi Dehghan 002 (J. Comput. Appl. Math., 2010)

Meshless local Petrov-Galerkin (MLPG) approximation to the two dimensional sine-Gordon equation. - Davoud Mirzaei; Mehdi Dehghan 002 (J. Comput. Appl. Math., 2010)

Computing matrix functions using mixed interpolation methods. - Mehdi Dehghan 002; Masoud Hajarian (Math. Comput. Model., 2010)

An efficient algorithm for solving general coupled matrix equations and its application. - Mehdi Dehghan 002; Masoud Hajarian (Math. Comput. Model., 2010)

The Chebyshev spectral viscosity method for the time dependent Eikonal equation. - Mehdi Dehghan 002; Rezvan Salehi (Math. Comput. Model., 2010)

High-order solution of one-dimensional sine-Gordon equation using compact finite difference and DIRKN methods. - Akbar Mohebbi; Mehdi Dehghan 002 (Math. Comput. Model., 2010)

Buckling and free vibration analysis of thick rectangular plates resting on elastic foundation using mixed finite element and differential quadrature method. - Mehdi Dehghan 002; Gholam Hosein Baradaran (Appl. Math. Comput., 2011)

Two algorithms for finding the Hermitian reflexive and skew-Hermitian solutions of Sylvester matrix equations. - Mehdi Dehghan 002; Masoud Hajarian (Appl. Math. Lett., 2011)

Improvement of the accuracy in boundary element method based on high-order discretization. - Mehdi Dehghan 002; Hossein Hosseinzadeh (Comput. Math. Appl., 2011)

Application of Taylor series in obtaining the orthogonal operational matrix. - M. R. Eslahchi; Mehdi Dehghan 002 (Comput. Math. Appl., 2011)

A numerical technique for solving fractional optimal control problems. - Ali Lotfi; Mehdi Dehghan 002; Sohrab Ali Yousefi (Comput. Math. Appl., 2011)

A tau approach for solution of the space fractional diffusion equation. - Abbas Saadatmandi; Mehdi Dehghan 002 (Comput. Math. Appl., 2011)

The finite volume spectral element method to solve Turing models in the biological pattern formation. - Fatemeh Shakeri; Mehdi Dehghan 002 (Comput. Math. Appl., 2011)

Generalized Euler-Lagrange equations for fractional variational problems with free boundary conditions. - Sohrab Ali Yousefi; Mehdi Dehghan 002; Ali Lotfi (Comput. Math. Appl., 2011)

A high-order non-oscillatory central scheme with non-staggered grids for hyperbolic conservation laws. - Mehdi Dehghan 002; Rooholah Jazlanian (Comput. Phys. Commun., 2011)

The solitary wave solution of the two-dimensional regularized long-wave equation in fluids and plasmas. - Mehdi Dehghan 002; Rezvan Salehi (Comput. Phys. Commun., 2011)

A Chebyshev pseudospectral multidomain method for the soliton solution of coupled nonlinear Schrödinger equations. - Mehdi Dehghan 002; Ameneh Taleei (Comput. Phys. Commun., 2011)

Two class of synchronous matrix multisplitting schemes for solving linear complementarity problems. - Mehdi Dehghan 002; Masoud Hajarian (J. Comput. Appl. Math., 2011)

The spectral methods for parabolic Volterra integro-differential equations. - Farhad Fakhar-Izadi; Mehdi Dehghan 002 (J. Comput. Appl. Math., 2011)

Results concerning interval linear systems with multiple right-hand sides and the interval matrix equation AX=B. - Behnam Hashemi; Mehdi Dehghan 002 (J. Comput. Appl. Math., 2011)

Numerical solution for the weakly singular Fredholm integro-differential equations using Legendre multiwavelets. - Mehrdad Lakestani; Behzad Nemati Saray; Mehdi Dehghan 002 (J. Comput. Appl. Math., 2011)

The operational matrices of Bernstein polynomials for solving the parabolic equation subject to specification of the mass. - Sohrab Ali Yousefi; Mahmoud Behroozifar; Mehdi Dehghan 002 (J. Comput. Appl. Math., 2011)

The spectral collocation method with three different bases for solving a nonlinear partial differential equation arising in modeling of nonlinear waves. - Mehdi Dehghan 002; Farhad Fakhar-Izadi (Math. Comput. Model., 2011)

Stability and periodic character of a third order difference equation. - Mehdi Dehghan 002; Narges Rastegar (Math. Comput. Model., 2011)

Inverse problem of time-dependent heat sources numerical reconstruction. - Liu Yang; Mehdi Dehghan 002; Jian-Ning Yu; Guan-Wei Luo (Math. Comput. Simul., 2011)

The use of a Legendre pseudospectral viscosity technique to solve a class of nonlinear dynamic Hamilton-Jacobi equations. - Rezvan Salehi; Mehdi Dehghan 002 (Comput. Math. Appl., 2012)

The generalised Sylvester matrix equations over the generalised bisymmetric and skew-symmetric matrices. - Mehdi Dehghan 002; Masoud Hajarian (Int. J. Syst. Sci., 2012)

The numerical solution of the non-linear integro-differential equations based on the meshless method. - Mehdi Dehghan 002; Rezvan Salehi (J. Comput. Appl. Math., 2012)

Obtaining the upper bound of discretization error and critical boundary integrals of circular arc boundary element method. - Mehdi Dehghan 002; Hossein Hosseinzadeh (Math. Comput. Model., 2012)

Three methods based on the interpolation scaling functions and the mixed collocation finite difference schemes for the numerical solution of the nonlinear generalized Burgers-Huxley equation. - Mehdi Dehghan 002; Behzad Nemati Saray; Mehrdad Lakestani (Math. Comput. Model., 2012)

The third and fourth kinds of Chebyshev polynomials and best uniform approximation. - M. R. Eslahchi; Mehdi Dehghan 002; Sanaz Amani (Math. Comput. Model., 2012)

The interval Lyapunov matrix equation: Analytical results and an efficient numerical technique for outer estimation of the united solution set. - Behnam Hashemi; Mehdi Dehghan 002 (Math. Comput. Model., 2012)

Application of the Ritz-Galerkin method for recovering the spacewise-coefficients in the wave equation. - Kamal Rashedi; Hojatollah Adibi; Mehdi Dehghan 002 (Comput. Math. Appl., 2013)

The use of continuous boundary elements in the boundary elements method for domains with non-smooth boundaries via finite difference approach. - Zeinab Sedaghatjoo; Mehdi Dehghan 002; Hossein Hosseinzadeh (Comput. Math. Appl., 2013)

A high-order weighted essentially non-oscillatory (WENO) finite difference scheme for nonlinear degenerate parabolic equations. - Rooholah Abedian; Hojatollah Adibi; Mehdi Dehghan 002 (Comput. Phys. Commun., 2013)

The solitary wave solution of coupled Klein-Gordon-Zakharov equations via two different numerical methods. - Mehdi Dehghan 002; Ahmad Nikpour (Comput. Phys. Commun., 2013)

A meshless method for solving nonlinear two-dimensional integral equations of the second kind on non-rectangular domains using radial basis functions with error analysis. - Pouria Assari; Hojatollah Adibi; Mehdi Dehghan 002 (J. Comput. Appl. Math., 2013)

A technique for the numerical solution of initial-value problems based on a class of Birkhoff-type interpolation method. - Mehdi Dehghan 002; S. Aryanmehr; M. R. Eslahchi (J. Comput. Appl. Math., 2013)

Numerical solution of a class of fractional optimal control problems via the Legendre orthonormal basis combined with the operational matrix and the Gauss quadrature rule. - Ali Lotfi; Sohrab Ali Yousefi; Mehdi Dehghan 002 (J. Comput. Appl. Math., 2013)

The Sinc-collocation method for solving the Thomas-Fermi equation. - K. Parand 001; Mehdi Dehghan 002; Ali Pirkhedri (J. Comput. Appl. Math., 2013)

A generalized moving least square reproducing kernel method. - Rezvan Salehi; Mehdi Dehghan 002 (J. Comput. Appl. Math., 2013)

A high-order and unconditionally stable scheme for the modified anomalous fractional sub-diffusion equation with a nonlinear source term. - Akbar Mohebbi; Mostafa Abbaszadeh; Mehdi Dehghan 002 (J. Comput. Phys., 2013)

The numerical solution of nonlinear high dimensional generalized Benjamin-Bona-Mahony-Burgers equation via the meshless method of radial basis functions. - Mehdi Dehghan 002; Mostafa Abbaszadeh; Akbar Mohebbi (Comput. Math. Appl., 2014)

Generalized solution sets of the interval generalized Sylvester matrix equation ∑i=1pAiXi + ∑j=1qYjBj = C and some approaches for inner and outer estimations. - Marzieh Dehghani-Madiseh; Mehdi Dehghan 002 (Comput. Math. Appl., 2014)

Space-time spectral method for a weakly singular parabolic partial integro-differential equation on irregular domains. - Farhad Fakhar-Izadi; Mehdi Dehghan 002 (Comput. Math. Appl., 2014)

A simple and accurate scheme based on complex space C to calculate boundary integrals of 2D boundary elements method. - Hossein Hosseinzadeh; Mehdi Dehghan 002 (Comput. Math. Appl., 2014)

A high-order symmetrical weighted hybrid ENO-flux limiter scheme for hyperbolic conservation laws. - Rooholah Abedian; Hojatollah Adibi; Mehdi Dehghan 002 (Comput. Phys. Commun., 2014)

Time-splitting pseudo-spectral domain decomposition method for the soliton solutions of the one- and multi-dimensional nonlinear Schrödinger equations. - Ameneh Taleei; Mehdi Dehghan 002 (Comput. Phys. Commun., 2014)

A meshless discrete Galerkin (MDG) method for the numerical solution of integral equations with logarithmic kernels. - Pouria Assari; Hojatollah Adibi; Mehdi Dehghan 002 (J. Comput. Appl. Math., 2014)

A meshless local Petrov-Galerkin method for the time-dependent Maxwell equations. - Mehdi Dehghan 002; Rezvan Salehi (J. Comput. Appl. Math., 2014)

Application of the collocation method for solving nonlinear fractional integro-differential equations. - M. R. Eslahchi; Mehdi Dehghan 002; Maryam Parvizi (J. Comput. Appl. Math., 2014)

A meshless method based on the moving least squares (MLS) approximation for the numerical solution of two-dimensional nonlinear integral equations of the second kind on non-rectangular domains. - Pouria Assari; Hojatollah Adibi; Mehdi Dehghan 002 (Numer. Algorithms, 2014)

A meshless numerical procedure for solving fractional reaction subdiffusion model via a new combination of alternating direction implicit (ADI) approach and interpolating element free Galerkin (EFG) method. - Mostafa Abbaszadeh; Mehdi Dehghan 002 (Comput. Math. Appl., 2015)

The method of variably scaled radial kernels for solving two-dimensional magnetohydrodynamic (MHD) equations using two discretizations: The Crank-Nicolson scheme and the method of lines (MOL). - Mehdi Dehghan 002; Vahid Mohammadi (Comput. Math. Appl., 2015)

An efficient implicit spectral element method for time-dependent nonlinear diffusion equations by evaluating integrals at one quadrature point. - Mania Sabouri; Mehdi Dehghan 002 (Comput. Math. Appl., 2015)

Error estimate for the numerical solution of fractional reaction-subdiffusion process based on a meshless method. - Mehdi Dehghan 002; Mostafa Abbaszadeh; Akbar Mohebbi (J. Comput. Appl. Math., 2015)

The use of interpolating element-free Galerkin technique for solving 2D generalized Benjamin-Bona-Mahony-Burgers and regularized long-wave equations on non-rectangular domains with error estimate. - Mehdi Dehghan 002; Mostafa Abbaszadeh; Akbar Mohebbi (J. Comput. Appl. Math., 2015)

Two high-order numerical algorithms for solving the multi-term time fractional diffusion-wave equations. - Mehdi Dehghan 002; Mansour Safarpoor; Mostafa Abbaszadeh (J. Comput. Appl. Math., 2015)

Fractional Sturm-Liouville boundary value problems in unbounded domains: Theory and applications. - Hassan Khosravian-Arab; Mehdi Dehghan 002; M. R. Eslahchi (J. Comput. Phys., 2015)

Chebyshev polynomials and best approximation of some classes of functions. - M. R. Eslahchi; Mehdi Dehghan 002; Sanaz Amani (J. Num. Math., 2015)

Numerical solution of fractional advection-diffusion equation with a nonlinear source term. - Maryam Parvizi; M. R. Eslahchi; Mehdi Dehghan 002 (Numer. Algorithms, 2015)

An efficient method to approximate eigenfunctions and high-index eigenvalues of regular Sturm-Liouville problems. - Mehdi Dehghan 002 (Appl. Math. Comput., 2016)

Numerical study of three-dimensional Turing patterns using a meshless method based on moving Kriging element free Galerkin (EFG) approach. - Mehdi Dehghan 002; Mostafa Abbaszadeh (Comput. Math. Appl., 2016)

Two numerical meshless techniques based on radial basis functions (RBFs) and the method of generalized moving least squares (GMLS) for simulation of coupled Klein-Gordon-Schrödinger (KGS) equations. - Mehdi Dehghan 002; Vahid Mohammadi (Comput. Math. Appl., 2016)

Remediation of contaminated groundwater by meshless local weak forms. - Mohammad Ilati; Mehdi Dehghan 002 (Comput. Math. Appl., 2016)

Analysis of a meshless method for the time fractional diffusion-wave equation. - Mehdi Dehghan 002; Mostafa Abbaszadeh; Akbar Mohebbi (Numer. Algorithms, 2016)

Parametric AE-solution sets to the parametric linear systems with multiple right-hand sides and parametric matrix equation A(p)X = B(p). - Marzieh Dehghani-Madiseh; Mehdi Dehghan 002 (Numer. Algorithms, 2016)

Using generating functions to convert an implicit (3, 3) finite difference method to an explicit form on diffusion equation with different boundary conditions. - Saeed Kazem; Edmund Chadwick; Ali Hatam; Mehdi Dehghan 002 (Numer. Algorithms, 2016)

A fast and efficient two-grid method for solving d-dimensional poisson equations. - Hamid Moghaderi; Mehdi Dehghan 002; Masoud Hajarian (Numer. Algorithms, 2016)

A meshless discrete collocation method for the numerical solution of singular-logarithmic boundary integral equations utilizing radial basis functions. - Pouria Assari; Mehdi Dehghan 002 (Appl. Math. Comput., 2017)

Fourth-order numerical method for the space-time tempered fractional diffusion-wave equation. - Mehdi Dehghan 002; Mostafa Abbaszadeh; Weihua Deng (Appl. Math. Lett., 2017)

Element free Galerkin approach based on the reproducing kernel particle method for solving 2D fractional Tricomi-type equation with Robin boundary condition. - Mehdi Dehghan 002; Mostafa Abbaszadeh (Comput. Math. Appl., 2017)

Comparison between two meshless methods based on collocation technique for the numerical solution of four-species tumor growth model. - Mehdi Dehghan 002; Vahid Mohammadi (Commun. Nonlinear Sci. Numer. Simul., 2017)

A numerical scheme based on radial basis function finite difference (RBF-FD) technique for solving the high-dimensional nonlinear Schrödinger equations using an explicit time discretization: Runge-Kutta method. - Mehdi Dehghan 002; Vahid Mohammadi (Comput. Phys. Commun., 2017)

The numerical solution of two-dimensional logarithmic integral equations on normal domains using radial basis functions with polynomial precision. - Pouria Assari; Mehdi Dehghan 002 (Eng. Comput., 2017)

A finite element method for the numerical solution of Rayleigh-Stokes problem for a heated generalized second grade fluid with fractional derivatives. - Mehdi Dehghan 002; Mostafa Abbaszadeh (Eng. Comput., 2017)

A local meshless method for solving multi-dimensional Vlasov-Poisson and Vlasov-Poisson-Fokker-Planck systems arising in plasma physics. - Mehdi Dehghan 002; Mostafa Abbaszadeh (Eng. Comput., 2017)

Numerical investigation based on direct meshless local Petrov Galerkin (direct MLPG) method for solving generalized Zakharov system in one and two dimensions and generalized Gross-Pitaevskii equation. - Mehdi Dehghan 002; Mostafa Abbaszadeh (Eng. Comput., 2017)

The local radial point interpolation meshless method for solving Maxwell equations. - Mehdi Dehghan 002; Mina Haghjoo-Saniji (Eng. Comput., 2017)

Application of direct meshless local Petrov-Galerkin (DMLPG) method for some Turing-type models. - Mohammad Ilati; Mehdi Dehghan 002 (Eng. Comput., 2017)

Error analysis of method of lines (MOL) via generalized interpolating moving least squares (GIMLS) approximation. - Mehdi Dehghan 002; Vahid Mohammadi (J. Comput. Appl. Math., 2017)

Asymptotic expansion of solutions to the Black-Scholes equation arising from American option pricing near the expiry. - Seyed-Mohammad-Mahdi Kazemi; Mehdi Dehghan 002; Ali Foroush Bastani (J. Comput. Appl. Math., 2017)

On uniqueness of numerical solution of boundary integral equations with 3-times monotone radial kernels. - Zeinab Sedaghatjoo; Mehdi Dehghan 002; Hossein Hosseinzadeh (J. Comput. Appl. Math., 2017)

The use of proper orthogonal decomposition (POD) meshless RBF-FD technique to simulate the shallow water equations. - Mehdi Dehghan 002; Mostafa Abbaszadeh (J. Comput. Phys., 2017)

Fractional spectral and pseudo-spectral methods in unbounded domains: Theory and applications. - Hassan Khosravian-Arab; Mehdi Dehghan 002; M. R. Eslahchi (J. Comput. Phys., 2017)

Spectral analysis and multigrid preconditioners for two-dimensional space-fractional diffusion equations. - Hamid Moghaderi; Mehdi Dehghan 002; Marco Donatelli; Mariarosa Mazza (J. Comput. Phys., 2017)

An improved meshless method for solving two-dimensional distributed order time-fractional diffusion-wave equation with error estimate. - Mostafa Abbaszadeh; Mehdi Dehghan 002 (Numer. Algorithms, 2017)

A combination of proper orthogonal decomposition-discrete empirical interpolation method (POD-DEIM) and meshless local RBF-DQ approach for prevention of groundwater contamination. - Mehdi Dehghan 002; Mostafa Abbaszadeh (Comput. Math. Appl., 2018)

A finite difference/finite element technique with error estimate for space fractional tempered diffusion-wave equation. - Mehdi Dehghan 002; Mostafa Abbaszadeh (Comput. Math. Appl., 2018)

A hk mortar spectral element method for the p-Laplacian equation. - Mania Sabouri; Mehdi Dehghan 002 (Comput. Math. Appl., 2018)

Direct local boundary integral equation method for numerical solution of extended Fisher-Kolmogorov equation. - Mohammad Ilati; Mehdi Dehghan 002 (Eng. Comput., 2018)

A wavelet-based adaptive mesh refinement method for the obstacle problem. - Mahmood Khaksar-e Oshagh; Mostafa Shamsi; Mehdi Dehghan 002 (Eng. Comput., 2018)

Application of the dual reciprocity boundary integral equation approach to solve fourth-order time-fractional partial differential equations. - Mehdi Dehghan 002; Mansour Safarpoor (Int. J. Comput. Math., 2018)

A meshless Galerkin scheme for the approximate solution of nonlinear logarithmic boundary integral equations utilizing radial basis functions. - Pouria Assari; Mehdi Dehghan 002 (J. Comput. Appl. Math., 2018)

Error analysis of a meshless weak form method based on radial point interpolation technique for Sivashinsky equation arising in the alloy solidification problem. - Mohammad Ilati; Mehdi Dehghan 002 (J. Comput. Appl. Math., 2018)

On a new family of radial basis functions: Mathematical analysis and applications to option pricing. - Seyed-Mohammad-Mahdi Kazemi; Mehdi Dehghan 002; Ali Foroush Bastani (J. Comput. Appl. Math., 2018)

A new approach to improve the order of approximation of the Bernstein operators: theory and applications. - Hassan Khosravian-Arab; Mehdi Dehghan 002; M. R. Eslahchi (Numer. Algorithms, 2018)

A meshless local discrete Galerkin (MLDG) scheme for numerically solving two-dimensional nonlinear Volterra integral equations. - Pouria Assari; Mehdi Dehghan 002 (Appl. Math. Comput., 2019)

A generalized modified Hermitian and skew-Hermitian splitting (GMHSS) method for solving complex Sylvester matrix equation. - Mehdi Dehghan 002; Akbar Shirilord (Appl. Math. Comput., 2019)

DMLPG method for numerical simulation of soliton collisions in multi-dimensional coupled damped nonlinear Schrödinger system which arises from Bose-Einstein condensates. - Mohammad Ilati; Mehdi Dehghan 002 (Appl. Math. Comput., 2019)

The double-step scale splitting method for solving complex Sylvester matrix equation. - Mehdi Dehghan 002; Akbar Shirilord (Comput. Appl. Math., 2019)

Analysis of mixed finite element method (MFEM) for solving the generalized fractional reaction-diffusion equation on nonrectangular domains. - Mostafa Abbaszadeh; Mehdi Dehghan 002 (Comput. Math. Appl., 2019)

Alternating direction implicit-spectral element method (ADI-SEM) for solving multi-dimensional generalized modified anomalous sub-diffusion equation. - Mostafa Abbaszadeh; Mehdi Dehghan 002; Yong Zhou 005 (Comput. Math. Appl., 2019)

The solution of nonlinear Green-Naghdi equation arising in water sciences via a meshless method which combines moving kriging interpolation shape functions with the weighted essentially non-oscillatory method. - Mehdi Dehghan 002; Mostafa Abbaszadeh (Commun. Nonlinear Sci. Numer. Simul., 2019)

Application of dual-Chebyshev wavelets for the numerical solution of boundary integral equations with logarithmic singular kernels. - Pouria Assari; Mehdi Dehghan 002 (Eng. Comput., 2019)

The simulation of some chemotactic bacteria patterns in liquid medium which arises in tumor growth with blow-up phenomena via a generalized smoothed particle hydrodynamics (GSPH) method. - Mehdi Dehghan 002; Mostafa Abbaszadeh (Eng. Comput., 2019)

Numerical solution of a time-fractional PDE in the electroanalytical chemistry by a local meshless method. - Gholamreza Karamali; Mehdi Dehghan 002; Mostafa Abbaszadeh (Eng. Comput., 2019)

Semi-analytical solution for time-fractional diffusion equation based on finite difference method of lines (MOL). - Saeed Kazem; Mehdi Dehghan 002 (Eng. Comput., 2019)

On the numerical solution of Fredholm integral equations utilizing the local radial basis function method. - Pouria Assari; Fatemeh Asadi-Mehregan; Mehdi Dehghan 002 (Int. J. Comput. Math., 2019)

Application of thin plate splines for solving a class of boundary integral equations arisen from Laplace's equations with nonlinear boundary conditions. - Pouria Assari; Mehdi Dehghan 002 (Int. J. Comput. Math., 2019)

Error estimate of finite element/finite difference technique for solution of two-dimensional weakly singular integro-partial differential equation with space and time fractional derivatives. - Mehdi Dehghan 002; Mostafa Abbaszadeh (J. Comput. Appl. Math., 2019)

Numerical Simulation and Error Estimation of the Time-Dependent Allen-Cahn Equation on Surfaces with Radial Basis Functions. - Vahid Mohammadi; Davoud Mirzaei; Mehdi Dehghan 002 (J. Sci. Comput., 2019)

Generalized moving least squares approximation for the solution of local and non-local models of cancer cell invasion of tissue under the effect of adhesion in one- and two-dimensional spaces. - Vahid Mohammadi; Mehdi Dehghan 002 (Comput. Biol. Medicine, 2020)

Direct meshless local Petrov-Galerkin (DMLPG) method for time-fractional fourth-order reaction-diffusion problem on complex domains. - Mostafa Abbaszadeh; Mehdi Dehghan 002 (Comput. Math. Appl., 2020)

Error analysis of interpolating element free Galerkin method to solve non-linear extended Fisher-Kolmogorov equation. - Mostafa Abbaszadeh; Mehdi Dehghan 002; Amirreza Khodadadian; Clemens Heitzinger (Comput. Math. Appl., 2020)

Radial basis function-generated finite difference scheme for simulating the brain cancer growth model under radiotherapy in various types of computational domains. - Mehdi Dehghan 002; Niusha Narimani (Comput. Methods Programs Biomed., 2020)

On the pricing of multi-asset options under jump-diffusion processes using meshfree moving least-squares approximation. - Mohammad Shirzadi; Mehdi Dehghan 002; Ali Foroush Bastani (Commun. Nonlinear Sci. Numer. Simul., 2020)

The element-free Galerkin method based on moving least squares and moving Kriging approximations for solving two-dimensional tumor-induced angiogenesis model. - Mehdi Dehghan 002; Niusha Narimani (Eng. Comput., 2020)

Analysis and application of the interpolating element free Galerkin (IEFG) method to simulate the prevention of groundwater contamination with application in fluid flow. - Mostafa Abbaszadeh; Mehdi Dehghan 002; Amirreza Khodadadian; Clemens Heitzinger (J. Comput. Appl. Math., 2020)

Crank-Nicolson/Galerkin spectral method for solving two-dimensional time-space distributed-order weakly singular integro-partial differential equation. - Mostafa Abbaszadeh; Mehdi Dehghan 002; Yong Zhou 005 (J. Comput. Appl. Math., 2020)

Accelerated double-step scale splitting iteration method for solving a class of complex symmetric linear systems. - Mehdi Dehghan 002; Akbar Shirilord (Numer. Algorithms, 2020)

Statistical Analysis of the Performance of Rank Fusion Methods Applied to a Homogeneous Ensemble Feature Ranking. - Majid Soheili; Amir-Masoud Eftekhari-Moghadam; Mehdi Dehghan 002 (Sci. Program., 2020)

Numerical investigation of reproducing kernel particle Galerkin method for solving fractional modified distributed-order anomalous sub-diffusion equation with error estimation. - Mostafa Abbaszadeh; Mehdi Dehghan 002 (Appl. Math. Comput., 2021)

Numerical analysis of fully discrete energy stable weak Galerkin finite element Scheme for a coupled Cahn-Hilliard-Navier-Stokes phase-field model. - Mehdi Dehghan 002; Zeinab Gharibi (Appl. Math. Comput., 2021)

Generalized regularized least-squares approximation of noisy data with application to stochastic PDEs. - Mohammad Shirzadi; Mehdi Dehghan 002 (Appl. Math. Lett., 2021)

Numerical analysis of locally conservative weak Galerkin dual-mixed finite element method for the time-dependent Poisson-Nernst-Planck system. - Zeinab Gharibi; Mehdi Dehghan 002; Mostafa Abbaszadeh (Comput. Math. Appl., 2021)

Big data classification using heterogeneous ensemble classifiers in Apache Spark based on MapReduce paradigm. - Hamid Reza Kadkhodaei; Amir-Masoud Eftekhari-Moghadam; Mehdi Dehghan 002 (Expert Syst. Appl., 2021)

Meshless upwind local radial basis function-finite difference technique to simulate the time- fractional distributed-order advection-diffusion equation. - Mostafa Abbaszadeh; Mehdi Dehghan 002 (Eng. Comput., 2021)

A finite-difference procedure to solve weakly singular integro partial differential equation with space-time fractional derivatives. - Mostafa Abbaszadeh; Mehdi Dehghan 002 (Eng. Comput., 2021)

Solving complex Sylvester matrix equation by accelerated double-step scale splitting (ADSS) method. - Mehdi Dehghan 002; Akbar Shirilord (Eng. Comput., 2021)

Local radial basis function-finite-difference method to simulate some models in the nonlinear wave phenomena: regularized long-wave and extended Fisher-Kolmogorov equations. - Mehdi Dehghan 002; Nasim Shafieeabyaneh (Eng. Comput., 2021)

HSS-like method for solving complex nonlinear Yang-Baxter matrix equation. - Mehdi Dehghan 002; Akbar Shirilord (Eng. Comput., 2021)

The numerical solution of nonlinear generalized Benjamin-Bona-Mahony-Burgers and regularized long-wave equations via the meshless method of integrated radial basis functions. - Ali Ebrahimijahan; Mehdi Dehghan 002 (Eng. Comput., 2021)

Numerical investigation on the transport equation in spherical coordinates via generalized moving least squares and moving kriging least squares approximations. - Vahid Mohammadi; Mehdi Dehghan 002; Amirreza Khodadadian; Thomas Wick (Eng. Comput., 2021)

Fourth-order alternating direction implicit difference scheme to simulate the space-time Riesz tempered fractional diffusion equation. - Mostafa Abbaszadeh; Mehdi Dehghan 002 (Int. J. Comput. Math., 2021)

Numerical simulation of a prostate tumor growth model by the RBF-FD scheme and a semi-implicit time discretization. - Vahid Mohammadi; Mehdi Dehghan 002; Stefano De Marchi (J. Comput. Appl. Math., 2021)

A reduced-order variational multiscale interpolating element free Galerkin technique based on proper orthogonal decomposition for solving Navier-Stokes equations coupled with a heat transfer equation: Nonstationary incompressible Boussinesq equations. - Mostafa Abbaszadeh; Mehdi Dehghan 002; Amirreza Khodadadian; Nima Noii; Clemens Heitzinger; Thomas Wick (J. Comput. Phys., 2021)

Virtual Element Method for Solving an Inhomogeneous Brusselator Model With and Without Cross-Diffusion in Pattern Formation. - Mehdi Dehghan 002; Zeinab Gharibi (J. Sci. Comput., 2021)

Numerical investigation of the magnetic properties and behavior of electrically conducting fluids via the local weak form method. - Mostafa Abbaszadeh; Mostafa Bayat; Mehdi Dehghan 002 (Appl. Math. Comput., 2022)

Single step iterative method for linear system of equations with complex symmetric positive semi-definite coefficient matrices. - Akbar Shirilord; Mehdi Dehghan 002 (Appl. Math. Comput., 2022)

Closed-form solution of non-symmetric algebraic Riccati matrix equation. - Akbar Shirilord; Mehdi Dehghan 002 (Appl. Math. Lett., 2022)

Optimal convergence analysis of the energy-preserving immersed weak Galerkin method for second-order hyperbolic interface problems in inhomogeneous media. - Mehdi Dehghan 002; Zeinab Gharibi (Comput. Math. Appl., 2022)

A unified analysis of fully mixed virtual element method for wormhole propagation arising in the petroleum engineering. - Mehdi Dehghan 002; Zeinab Gharibi (Comput. Math. Appl., 2022)

A direct RBF-PU method for simulating the infiltration of cytotoxic T-lymphocytes into the tumor microenvironment. - Niusha Narimani; Mehdi Dehghan 002 (Commun. Nonlinear Sci. Numer. Simul., 2022)

Optimal error estimates of coupled and divergence-free virtual element methods for the Poisson-Nernst-Planck/Navier-Stokes equations. - Mehdi Dehghan 002; Zeinab Gharibi; Ricardo Ruiz-Baier (CoRR, 2022)

The fourth-order time-discrete scheme and split-step direct meshless finite volume method for solving cubic-quintic complex Ginzburg-Landau equations on complicated geometries. - Mostafa Abbaszadeh; Mehdi Dehghan 002 (Eng. Comput., 2022)

Investigation of heat transport equation at the microscale via interpolating element-free Galerkin method. - Mostafa Abbaszadeh; Mehdi Dehghan 002 (Eng. Comput., 2022)

A POD reduced-order model based on spectral Galerkin method for solving the space-fractional Gray-Scott model with error estimate. - Mostafa Abbaszadeh; Mehdi Dehghan 002; Ionel Michael Navon (Eng. Comput., 2022)

Numerical simulation based on a combination of finite-element method and proper orthogonal decomposition to prevent the groundwater contamination. - Mehdi Dehghan 002; Baharak Hooshyarfarzin; Mostafa Abbaszadeh (Eng. Comput., 2022)

Three-step iterative methods for numerical solution of systems of nonlinear equations. - Mehdi Dehghan 002; Akbar Shirilord (Eng. Comput., 2022)

Two lopsided TSCSP (LTSCSP) iteration methods for solution of complex symmetric positive definite linear systems. - Mehdi Dehghan 002; Akbar Shirilord (Eng. Comput., 2022)

The use of homotopy analysis method for solving generalized Sylvester matrix equation with applications. - Mehdi Dehghan 002; Akbar Shirilord (Eng. Comput., 2022)

Integrated radial basis functions (IRBFs) to simulate nonlinear advection-diffusion equations with smooth and non-smooth initial data. - Ali Ebrahimijahan; Mehdi Dehghan 002; Mostafa Abbaszadeh (Eng. Comput., 2022)

Simulation of the incompressible Navier-Stokes via integrated radial basis function based on finite difference scheme. - Ali Ebrahimijahan; Mehdi Dehghan 002; Mostafa Abbaszadeh (Eng. Comput., 2022)

A comparative study on interior penalty discontinuous Galerkin and enriched Galerkin methods for time-fractional Sobolev equation. - Hadi Mohammadi-Firouzjaei; Hojatollah Adibi; Mehdi Dehghan 002 (Eng. Comput., 2022)

Divergence-free meshless local Petrov-Galerkin method for Stokes flow. - Mahboubeh Najafi; Mehdi Dehghan 002; Bozidar Sarler; Gregor Kosec; Bostjan Mavric (Eng. Comput., 2022)

An LT-BEM for an unsteady diffusion-convection problem of another class of anisotropic FGMs. - Mohammad Ivan Azis; Mostafa Abbaszadeh; Mehdi Dehghan 002 (Int. J. Comput. Math., 2022)

An analysis of weak Galerkin finite element method for a steady state Boussinesq problem. - Mehdi Dehghan 002; Zeinab Gharibi (J. Comput. Appl. Math., 2022)

A new approximation algorithm for solving generalized Lyapunov matrix equations. - Mehdi Dehghan 002; Akbar Shirilord (J. Comput. Appl. Math., 2022)

A fast computational algorithm for computing outer pseudo-inverses with numerical experiments. - Mehdi Dehghan 002; Akbar Shirilord (J. Comput. Appl. Math., 2022)

Optimal error bound for immersed weak Galerkin finite element method for elliptic interface problems. - Zeinab Gharibi; Mehdi Dehghan 002; Mostafa Abbaszadeh (J. Comput. Appl. Math., 2022)

A RBF-WENO Finite Difference Scheme for Non-linear Degenerate Parabolic Equations. - Rooholah Abedian; Mehdi Dehghan 002 (J. Sci. Comput., 2022)

A class of moving Kriging interpolation-based DQ methods to simulate multi-dimensional space Galilei invariant fractional advection-diffusion equation. - Mostafa Abbaszadeh; Mehdi Dehghan 002 (Numer. Algorithms, 2022)

Approximating optimal parameters for generalized preconditioned Hermitian and skew-Hermitian splitting (GPHSS) method. - Mehdi Dehghan 002; Akbar Shirilord (Comput. Appl. Math., 2022)

Proper Orthogonal Decomposition-Lattice Boltzmann Method: Simulating the Air Pollutant Problem in Street Canyon Areas. - Reza MohammadiArani; Mehdi Dehghan 002; Mostafa Abbaszadeh (SIAM J. Sci. Comput., 2022)

The sine and cosine diffusive representations for the Caputo fractional derivative. - Hassan Khosravian-Arab; Mehdi Dehghan 002 (CoRR, 2023)

Optimal Error Estimates of Coupled and Divergence-Free Virtual Element Methods for the Poisson-Nernst-Planck/Navier-Stokes Equations and Applications in Electrochemical Systems. - Mehdi Dehghan 002; Zeinab Gharibi; Ricardo Ruiz-Baier (J. Sci. Comput., 2023)

The numerical solution of nonlinear delay Volterra integral equations using the thin plate spline collocation method with error analysis. - Alireza Hosseinian; Pouria Assari; Mehdi Dehghan 002 (Comput. Appl. Math., 2023)

A radial basis function-Hermite finite difference (RBF-HFD) method for the cubic-quintic complex Ginzburg-Landau equation. - Majid Haghi; Mohammad Ilati; Mehdi Dehghan 002 (Comput. Appl. Math., 2023)

A fourth-order compact difference method for the nonlinear time-fractional fourth-order reaction-diffusion equation. - Majid Haghi; Mohammad Ilati; Mehdi Dehghan 002 (Eng. Comput., 2023)

Predicting the effect of a combination drug therapy on the prostate tumor growth via an improvement of a direct radial basis function partition of unity technique for a diffuse-interface model. - Niusha Narimani; Mehdi Dehghan 002 (Comput. Biol. Medicine, 2023)

Reduced order model for simulation of air pollution model and application in 2D urban street canyons via the meshfree gradient smoothing method. - Mostafa Abbaszadeh; Mohammad Ivan Azis; Mehdi Dehghan 002; Reza MohammadiArani (Comput. Math. Appl., 2023)

On the numerical solution of a population growth model of a species living in a closed system based on the moving least squares scheme. - Fatemeh Asadi-Mehregan; Pouria Assari; Mehdi Dehghan 002 (Int. J. Comput. Math., 2023)

The numerical solution of a mathematical model of the Covid-19 pandemic utilizing a meshless local discrete Galerkin method. - Fatemeh Asadi-Mehregan; Pouria Assari; Mehdi Dehghan 002 (Eng. Comput., 2023)

Well-posedness of space fractional Ginzburg-Landau equations involving the fractional Laplacian arising in a Bose-Einstein condensation and its kernel based approximation. - Hamed Mohebalizadeh; Hojatollah Adibi; Mehdi Dehghan 002 (Commun. Nonlinear Sci. Numer. Simul., 2023)

Extending matrix-vector framework on multiple relaxation time lattice Boltzmann method. - Reza MohammadiArani; Mehdi Dehghan 002; Mostafa Abbaszadeh (Appl. Math. Lett., 2024)

Stationary Landweber method with momentum acceleration for solving least squares problems. - Akbar Shirilord; Mehdi Dehghan 002 (Appl. Math. Lett., 2024)

Gradient-based iterative approach for solving constrained systems of linear matrix equations. - Akbar Shirilord; Mehdi Dehghan 002 (Comput. Appl. Math., 2024)

A weighted combination of reproducing kernel particle shape functions with cardinal functions of scalable polyharmonic spline radial kernel utilized in Galerkin weak form of a mathematical model related to anti-angiogenic therapy. - Niusha Narimani; Mehdi Dehghan 002; Vahid Mohammadi (Commun. Nonlinear Sci. Numer. Simul., 2024)

Analysis of weak Galerkin mixed FEM based on the velocity-pseudostress formulation for Navier-Stokes equation on polygonal meshes. - Zeinab Gharibi; Mehdi Dehghan 002 (CoRR, 2024)

An efficient numerical scheme to solve generalized Abel's integral equations with delay arguments utilizing locally supported RBFs. - Alireza Hosseinian; Pouria Assari; Mehdi Dehghan 002 (J. Comput. Appl. Math., 2024)

Iterative algorithm for a generalized matrix equation with momentum acceleration approach and its convergence analysis. - Akbar Shirilord; Mehdi Dehghan 002 (J. Frankl. Inst., 2024)

An efficient meshless method to approximate semi-linear stochastic evolution equations. - Mahdi Jalili; Rezvan Salehi; Mehdi Dehghan 002 (Eng. Comput., 2024)

A meshless collocation method based on Pascal polynomial approximation and implicit closest point method for solving reaction-diffusion systems on surfaces. - Hasan Zamani-Gharaghoshi; Mehdi Dehghan 002; Mostafa Abbaszadeh (Eng. Comput., 2024)

Supervised learning and meshless methods for two-dimensional fractional PDEs on irregular domains. - Mostafa Abbaszadeh; Mahmoud A. Zaky; Ahmed S. Hendy; Mehdi Dehghan 002 (Math. Comput. Simul., 2024)

Morphodynamic shallow layer equations featuring bed load and suspended sediment with lattice Boltzmann method. - Reza MohammadiArani; Mehdi Dehghan 002; Mostafa Abbaszadeh (Eng. Comput., 2024)

Investigation of phase-field models of tumor growth based on a reduced-order meshless Galerkin method. - Mostafa Abbaszadeh; Mehdi Dehghan 002; Dunhui Xiao (Eng. Comput., 2024)

Numerical simulation of spatio-temporal spread of an infectious disease utilizing a collocation method based on local radial basis functions. - Fatemeh Asadi-Mehregan; Pouria Assari; Mehdi Dehghan 002 (Eng. Comput., 2024)

Computational study based on the Laplace transform and local discontinuous Galerkin methods for solving fourth-order time-fractional partial integro-differential equations with weakly singular kernels. - Hadi Mohammadi-Firouzjaei; Hojatollah Adibi; Mehdi Dehghan 002 (Comput. Appl. Math., 2024)

Analysis of Weak Galerkin Mixed Finite Element Method Based on the Velocity-Pseudostress Formulation for Navier-Stokes Equation on Polygonal Meshes. - Zeinab Gharibi; Mehdi Dehghan 002 (J. Sci. Comput., 2024)

Virtual element approximation and BDF2 time-discrete scheme for a partial integro-differential equation with a singular Abel's kernel. - Mostafa Abbaszadeh; Mahmoud A. Zaky; Mehdi Dehghan 002 (Appl. Math. Comput., 2025)

Numerical simulation and error estimation of the Davey-Stewartson equations with virtual element method. - Baharak Hooshyarfarzin; Mostafa Abbaszadeh; Mehdi Dehghan 002 (Appl. Math. Comput., 2025)

A reproducing kernel particle method (RKPM) algorithm for solving the tropical Pacific Ocean model. - Mostafa Abbaszadeh; Maryam Parvizi; Amirreza Khodadadian; Thomas Wick; Mehdi Dehghan 002 (Comput. Math. Appl., 2025)

A reduced-order least squares-support vector regression and isogeometric collocation method to simulate Cahn-Hilliard-Navier-Stokes equation. - Mostafa Abbaszadeh; Amirreza Khodadadian; Maryam Parvizi; Mehdi Dehghan 002; Dunhui Xiao (J. Comput. Phys., 2025)

A meshless local Galerkin method for solving a class of nonlinear time-dependent mixed integral equations on non-rectangular 2D domains. - Fatemeh Asadi-Mehregan; Pouria Assari; Mehdi Dehghan 002 (Comput. Appl. Math., 2025)

Solving a system of complex matrix equations using a gradient-based method and its application in image restoration. - Akbar Shirilord; Mehdi Dehghan 002 (Numer. Algorithms, 2025)

Error estimate of virtual element approximation for loaded time-fractional Hallaire's equation. - Mostafa Abbaszadeh; Mehdi Dehghan 002 (J. Appl. Math. Comput., 2025)

A new class of gamma-type operator and its improvement: theory and numerical experiments. - Hassan Khosravian-Arab; Mehdi Dehghan 002 (Comput. Appl. Math., 2025)

Mixed FEM for coupled unsteady fluid flow problems with p-type Brinkman-Forchheimer framework and its application for reverse-osmosis desalination. - Zeinab Gharibi; Mostafa Abbaszadeh; Mehdi Dehghan 002 (CoRR, 2025)