Mehdi Dehghan

Orcid: 0000-0002-2573-9755

Affiliations:
  • Amirkabir University of Technology, Department of Applied Mathematics, Tehran, Iran


According to our database1, Mehdi Dehghan authored at least 335 papers between 1999 and 2024.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of four.

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Bibliography

2024
Supervised learning and meshless methods for two-dimensional fractional PDEs on irregular domains.
Math. Comput. Simul., February, 2024

A meshless collocation method based on Pascal polynomial approximation and implicit closest point method for solving reaction-diffusion systems on surfaces.
Eng. Comput., February, 2024

An efficient meshless method to approximate semi-linear stochastic evolution equations.
Eng. Comput., February, 2024

Analysis of weak Galerkin mixed FEM based on the velocity-pseudostress formulation for Navier-Stokes equation on polygonal meshes.
CoRR, 2024

2023
Well-posedness of space fractional Ginzburg-Landau equations involving the fractional Laplacian arising in a Bose-Einstein condensation and its kernel based approximation.
Commun. Nonlinear Sci. Numer. Simul., November, 2023

The numerical solution of a mathematical model of the Covid-19 pandemic utilizing a meshless local discrete Galerkin method.
Eng. Comput., October, 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.
Int. J. Comput. Math., August, 2023

Reduced order model for simulation of air pollution model and application in 2D urban street canyons via the meshfree gradient smoothing method.
Comput. Math. Appl., June, 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.
Comput. Biol. Medicine, May, 2023

A fourth-order compact difference method for the nonlinear time-fractional fourth-order reaction-diffusion equation.
Eng. Comput., April, 2023

A radial basis function-Hermite finite difference (RBF-HFD) method for the cubic-quintic complex Ginzburg-Landau equation.
Comput. Appl. Math., April, 2023

The numerical solution of nonlinear delay Volterra integral equations using the thin plate spline collocation method with error analysis.
Comput. Appl. Math., March, 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.
J. Sci. Comput., February, 2023

The sine and cosine diffusive representations for the Caputo fractional derivative.
CoRR, 2023

2022
Proper Orthogonal Decomposition-Lattice Boltzmann Method: Simulating the Air Pollutant Problem in Street Canyon Areas.
SIAM J. Sci. Comput., August, 2022

Approximating optimal parameters for generalized preconditioned Hermitian and skew-Hermitian splitting (GPHSS) method.
Comput. Appl. Math., March, 2022

A class of moving Kriging interpolation-based DQ methods to simulate multi-dimensional space Galilei invariant fractional advection-diffusion equation.
Numer. Algorithms, 2022

A RBF-WENO Finite Difference Scheme for Non-linear Degenerate Parabolic Equations.
J. Sci. Comput., 2022

Optimal error bound for immersed weak Galerkin finite element method for elliptic interface problems.
J. Comput. Appl. Math., 2022

A fast computational algorithm for computing outer pseudo-inverses with numerical experiments.
J. Comput. Appl. Math., 2022

A new approximation algorithm for solving generalized Lyapunov matrix equations.
J. Comput. Appl. Math., 2022

An analysis of weak Galerkin finite element method for a steady state Boussinesq problem.
J. Comput. Appl. Math., 2022

An LT-BEM for an unsteady diffusion-convection problem of another class of anisotropic FGMs.
Int. J. Comput. Math., 2022

Divergence-free meshless local Petrov-Galerkin method for Stokes flow.
Eng. Comput., 2022

A comparative study on interior penalty discontinuous Galerkin and enriched Galerkin methods for time-fractional Sobolev equation.
Eng. Comput., 2022

Simulation of the incompressible Navier-Stokes via integrated radial basis function based on finite difference scheme.
Eng. Comput., 2022

Integrated radial basis functions (IRBFs) to simulate nonlinear advection-diffusion equations with smooth and non-smooth initial data.
Eng. Comput., 2022

The use of homotopy analysis method for solving generalized Sylvester matrix equation with applications.
Eng. Comput., 2022

Two lopsided TSCSP (LTSCSP) iteration methods for solution of complex symmetric positive definite linear systems.
Eng. Comput., 2022

Three-step iterative methods for numerical solution of systems of nonlinear equations.
Eng. Comput., 2022

Numerical simulation based on a combination of finite-element method and proper orthogonal decomposition to prevent the groundwater contamination.
Eng. Comput., 2022

A POD reduced-order model based on spectral Galerkin method for solving the space-fractional Gray-Scott model with error estimate.
Eng. Comput., 2022

Investigation of heat transport equation at the microscale via interpolating element-free Galerkin method.
Eng. Comput., 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.
Eng. Comput., 2022

Optimal error estimates of coupled and divergence-free virtual element methods for the Poisson-Nernst-Planck/Navier-Stokes equations.
CoRR, 2022

A direct RBF-PU method for simulating the infiltration of cytotoxic T-lymphocytes into the tumor microenvironment.
Commun. Nonlinear Sci. Numer. Simul., 2022

A unified analysis of fully mixed virtual element method for wormhole propagation arising in the petroleum engineering.
Comput. Math. Appl., 2022

Optimal convergence analysis of the energy-preserving immersed weak Galerkin method for second-order hyperbolic interface problems in inhomogeneous media.
Comput. Math. Appl., 2022

Closed-form solution of non-symmetric algebraic Riccati matrix equation.
Appl. Math. Lett., 2022

Single step iterative method for linear system of equations with complex symmetric positive semi-definite coefficient matrices.
Appl. Math. Comput., 2022

Numerical investigation of the magnetic properties and behavior of electrically conducting fluids via the local weak form method.
Appl. Math. Comput., 2022

2021
Virtual Element Method for Solving an Inhomogeneous Brusselator Model With and Without Cross-Diffusion in Pattern Formation.
J. Sci. Comput., 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.
J. Comput. Phys., 2021

Numerical simulation of a prostate tumor growth model by the RBF-FD scheme and a semi-implicit time discretization.
J. Comput. Appl. Math., 2021

Fourth-order alternating direction implicit difference scheme to simulate the space-time Riesz tempered fractional diffusion equation.
Int. J. Comput. Math., 2021

Numerical investigation on the transport equation in spherical coordinates via generalized moving least squares and moving kriging least squares approximations.
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.
Eng. Comput., 2021

HSS-like method for solving complex nonlinear Yang-Baxter matrix equation.
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.
Eng. Comput., 2021

Solving complex Sylvester matrix equation by accelerated double-step scale splitting (ADSS) method.
Eng. Comput., 2021

A finite-difference procedure to solve weakly singular integro partial differential equation with space-time fractional derivatives.
Eng. Comput., 2021

Meshless upwind local radial basis function-finite difference technique to simulate the time- fractional distributed-order advection-diffusion equation.
Eng. Comput., 2021

Big data classification using heterogeneous ensemble classifiers in Apache Spark based on MapReduce paradigm.
Expert Syst. Appl., 2021

Numerical analysis of locally conservative weak Galerkin dual-mixed finite element method for the time-dependent Poisson-Nernst-Planck system.
Comput. Math. Appl., 2021

Generalized regularized least-squares approximation of noisy data with application to stochastic PDEs.
Appl. Math. Lett., 2021

Numerical analysis of fully discrete energy stable weak Galerkin finite element Scheme for a coupled Cahn-Hilliard-Navier-Stokes phase-field model.
Appl. Math. Comput., 2021

Numerical investigation of reproducing kernel particle Galerkin method for solving fractional modified distributed-order anomalous sub-diffusion equation with error estimation.
Appl. Math. Comput., 2021

2020
Statistical Analysis of the Performance of Rank Fusion Methods Applied to a Homogeneous Ensemble Feature Ranking.
Sci. Program., 2020

Accelerated double-step scale splitting iteration method for solving a class of complex symmetric linear systems.
Numer. Algorithms, 2020

Crank-Nicolson/Galerkin spectral method for solving two-dimensional time-space distributed-order weakly singular integro-partial differential equation.
J. Comput. Appl. Math., 2020

Analysis and application of the interpolating element free Galerkin (IEFG) method to simulate the prevention of groundwater contamination with application in fluid flow.
J. Comput. Appl. Math., 2020

The element-free Galerkin method based on moving least squares and moving Kriging approximations for solving two-dimensional tumor-induced angiogenesis model.
Eng. Comput., 2020

On the pricing of multi-asset options under jump-diffusion processes using meshfree moving least-squares approximation.
Commun. Nonlinear Sci. Numer. Simul., 2020

Radial basis function-generated finite difference scheme for simulating the brain cancer growth model under radiotherapy in various types of computational domains.
Comput. Methods Programs Biomed., 2020

Error analysis of interpolating element free Galerkin method to solve non-linear extended Fisher-Kolmogorov equation.
Comput. Math. Appl., 2020

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

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.
Comput. Biol. Medicine, 2020

2019
Numerical Simulation and Error Estimation of the Time-Dependent Allen-Cahn Equation on Surfaces with Radial Basis Functions.
J. Sci. Comput., 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.
J. Comput. Appl. Math., 2019

Application of thin plate splines for solving a class of boundary integral equations arisen from Laplace's equations with nonlinear boundary conditions.
Int. J. Comput. Math., 2019

On the numerical solution of Fredholm integral equations utilizing the local radial basis function method.
Int. J. Comput. Math., 2019

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

Numerical solution of a time-fractional PDE in the electroanalytical chemistry by a local meshless method.
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.
Eng. Comput., 2019

Application of dual-Chebyshev wavelets for the numerical solution of boundary integral equations with logarithmic singular kernels.
Eng. Comput., 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.
Commun. Nonlinear Sci. Numer. Simul., 2019

Alternating direction implicit-spectral element method (ADI-SEM) for solving multi-dimensional generalized modified anomalous sub-diffusion equation.
Comput. Math. Appl., 2019

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

The double-step scale splitting method for solving complex Sylvester matrix equation.
Comput. Appl. Math., 2019

DMLPG method for numerical simulation of soliton collisions in multi-dimensional coupled damped nonlinear Schrödinger system which arises from Bose-Einstein condensates.
Appl. Math. Comput., 2019

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

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

2018
A new approach to improve the order of approximation of the Bernstein operators: theory and applications.
Numer. Algorithms, 2018

On a new family of radial basis functions: Mathematical analysis and applications to option pricing.
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.
J. Comput. Appl. Math., 2018

A meshless Galerkin scheme for the approximate solution of nonlinear logarithmic boundary integral equations utilizing radial basis functions.
J. Comput. Appl. Math., 2018

Application of the dual reciprocity boundary integral equation approach to solve fourth-order time-fractional partial differential equations.
Int. J. Comput. Math., 2018

A wavelet-based adaptive mesh refinement method for the obstacle problem.
Eng. Comput., 2018

Direct local boundary integral equation method for numerical solution of extended Fisher-Kolmogorov equation.
Eng. Comput., 2018

A hk mortar spectral element method for the p-Laplacian equation.
Comput. Math. Appl., 2018

A finite difference/finite element technique with error estimate for space fractional tempered diffusion-wave equation.
Comput. Math. Appl., 2018

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

2017
An improved meshless method for solving two-dimensional distributed order time-fractional diffusion-wave equation with error estimate.
Numer. Algorithms, 2017

Spectral analysis and multigrid preconditioners for two-dimensional space-fractional diffusion equations.
J. Comput. Phys., 2017

Fractional spectral and pseudo-spectral methods in unbounded domains: Theory and applications.
J. Comput. Phys., 2017

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

On uniqueness of numerical solution of boundary integral equations with 3-times monotone radial kernels.
J. Comput. Appl. Math., 2017

Asymptotic expansion of solutions to the Black-Scholes equation arising from American option pricing near the expiry.
J. Comput. Appl. Math., 2017

Error analysis of method of lines (MOL) via generalized interpolating moving least squares (GIMLS) approximation.
J. Comput. Appl. Math., 2017

Application of direct meshless local Petrov-Galerkin (DMLPG) method for some Turing-type models.
Eng. Comput., 2017

The local radial point interpolation meshless method for solving Maxwell equations.
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.
Eng. Comput., 2017

A local meshless method for solving multi-dimensional Vlasov-Poisson and Vlasov-Poisson-Fokker-Planck systems arising in plasma physics.
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.
Eng. Comput., 2017

The numerical solution of two-dimensional logarithmic integral equations on normal domains using radial basis functions with polynomial precision.
Eng. Comput., 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.
Comput. Phys. Commun., 2017

Comparison between two meshless methods based on collocation technique for the numerical solution of four-species tumor growth model.
Commun. Nonlinear Sci. Numer. Simul., 2017

Element free Galerkin approach based on the reproducing kernel particle method for solving 2D fractional Tricomi-type equation with Robin boundary condition.
Comput. Math. Appl., 2017

Fourth-order numerical method for the space-time tempered fractional diffusion-wave equation.
Appl. Math. Lett., 2017

A meshless discrete collocation method for the numerical solution of singular-logarithmic boundary integral equations utilizing radial basis functions.
Appl. Math. Comput., 2017

2016
A fast and efficient two-grid method for solving d-dimensional poisson equations.
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.
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).
Numer. Algorithms, 2016

Analysis of a meshless method for the time fractional diffusion-wave equation.
Numer. Algorithms, 2016

Remediation of contaminated groundwater by meshless local weak forms.
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.
Comput. Math. Appl., 2016

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

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

2015
Numerical solution of fractional advection-diffusion equation with a nonlinear source term.
Numer. Algorithms, 2015

Chebyshev polynomials and best approximation of some classes of functions.
J. Num. Math., 2015

Fractional Sturm-Liouville boundary value problems in unbounded domains: Theory and applications.
J. Comput. Phys., 2015

Two high-order numerical algorithms for solving the multi-term time fractional diffusion-wave equations.
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.
J. Comput. Appl. Math., 2015

Error estimate for the numerical solution of fractional reaction-subdiffusion process based on a meshless method.
J. Comput. Appl. Math., 2015

An efficient implicit spectral element method for time-dependent nonlinear diffusion equations by evaluating integrals at one quadrature point.
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).
Comput. Math. Appl., 2015

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.
Comput. Math. Appl., 2015

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.
Numer. Algorithms, 2014

Application of the collocation method for solving nonlinear fractional integro-differential equations.
J. Comput. Appl. Math., 2014

A meshless local Petrov-Galerkin method for the time-dependent Maxwell equations.
J. Comput. Appl. Math., 2014

A meshless discrete Galerkin (MDG) method for the numerical solution of integral equations with logarithmic kernels.
J. Comput. Appl. Math., 2014

Time-splitting pseudo-spectral domain decomposition method for the soliton solutions of the one- and multi-dimensional nonlinear Schrödinger equations.
Comput. Phys. Commun., 2014

A high-order symmetrical weighted hybrid ENO-flux limiter scheme for hyperbolic conservation laws.
Comput. Phys. Commun., 2014

A simple and accurate scheme based on complex space C to calculate boundary integrals of 2D boundary elements method.
Comput. Math. Appl., 2014

Space-time spectral method for a weakly singular parabolic partial integro-differential equation on irregular domains.
Comput. Math. Appl., 2014

Generalized solution sets of the interval generalized Sylvester matrix equation ∑<sub>i=1</sub><sup>p</sup>A<sub>i</sub>X<sub>i</sub> + ∑<sub>j=1</sub><sup>q</sup>Y<sub>j</sub>B<sub>j</sub> = C and some approaches for inner and outer estimations.
Comput. Math. Appl., 2014

The numerical solution of nonlinear high dimensional generalized Benjamin-Bona-Mahony-Burgers equation via the meshless method of radial basis functions.
Comput. Math. Appl., 2014

2013
A high-order and unconditionally stable scheme for the modified anomalous fractional sub-diffusion equation with a nonlinear source term.
J. Comput. Phys., 2013

A generalized moving least square reproducing kernel method.
J. Comput. Appl. Math., 2013

The Sinc-collocation method for solving the Thomas-Fermi equation.
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.
J. Comput. Appl. Math., 2013

A technique for the numerical solution of initial-value problems based on a class of Birkhoff-type interpolation method.
J. Comput. Appl. Math., 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.
J. Comput. Appl. Math., 2013

The solitary wave solution of coupled Klein-Gordon-Zakharov equations via two different numerical methods.
Comput. Phys. Commun., 2013

A high-order weighted essentially non-oscillatory (WENO) finite difference scheme for nonlinear degenerate parabolic equations.
Comput. Phys. Commun., 2013

The use of continuous boundary elements in the boundary elements method for domains with non-smooth boundaries via finite difference approach.
Comput. Math. Appl., 2013

Application of the Ritz-Galerkin method for recovering the spacewise-coefficients in the wave equation.
Comput. Math. Appl., 2013

2012
The interval Lyapunov matrix equation: Analytical results and an efficient numerical technique for outer estimation of the united solution set.
Math. Comput. Model., 2012

The third and fourth kinds of Chebyshev polynomials and best uniform approximation.
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.
Math. Comput. Model., 2012

Obtaining the upper bound of discretization error and critical boundary integrals of circular arc boundary element method.
Math. Comput. Model., 2012

The numerical solution of the non-linear integro-differential equations based on the meshless method.
J. Comput. Appl. Math., 2012

The generalised Sylvester matrix equations over the generalised bisymmetric and skew-symmetric matrices.
Int. J. Syst. Sci., 2012

The use of a Legendre pseudospectral viscosity technique to solve a class of nonlinear dynamic Hamilton-Jacobi equations.
Comput. Math. Appl., 2012

2011
Inverse problem of time-dependent heat sources numerical reconstruction.
Math. Comput. Simul., 2011

Stability and periodic character of a third order difference equation.
Math. Comput. Model., 2011

The spectral collocation method with three different bases for solving a nonlinear partial differential equation arising in modeling of nonlinear waves.
Math. Comput. Model., 2011

The operational matrices of Bernstein polynomials for solving the parabolic equation subject to specification of the mass.
J. Comput. Appl. Math., 2011

Numerical solution for the weakly singular Fredholm integro-differential equations using Legendre multiwavelets.
J. Comput. Appl. Math., 2011

Results concerning interval linear systems with multiple right-hand sides and the interval matrix equation AX=B.
J. Comput. Appl. Math., 2011

The spectral methods for parabolic Volterra integro-differential equations.
J. Comput. Appl. Math., 2011

Two class of synchronous matrix multisplitting schemes for solving linear complementarity problems.
J. Comput. Appl. Math., 2011

A Chebyshev pseudospectral multidomain method for the soliton solution of coupled nonlinear Schrödinger equations.
Comput. Phys. Commun., 2011

The solitary wave solution of the two-dimensional regularized long-wave equation in fluids and plasmas.
Comput. Phys. Commun., 2011

A high-order non-oscillatory central scheme with non-staggered grids for hyperbolic conservation laws.
Comput. Phys. Commun., 2011

Generalized Euler-Lagrange equations for fractional variational problems with free boundary conditions.
Comput. Math. Appl., 2011

The finite volume spectral element method to solve Turing models in the biological pattern formation.
Comput. Math. Appl., 2011

A tau approach for solution of the space fractional diffusion equation.
Comput. Math. Appl., 2011

A numerical technique for solving fractional optimal control problems.
Comput. Math. Appl., 2011

Application of Taylor series in obtaining the orthogonal operational matrix.
Comput. Math. Appl., 2011

Improvement of the accuracy in boundary element method based on high-order discretization.
Comput. Math. Appl., 2011

Two algorithms for finding the Hermitian reflexive and skew-Hermitian solutions of Sylvester matrix equations.
Appl. Math. Lett., 2011

Buckling and free vibration analysis of thick rectangular plates resting on elastic foundation using mixed finite element and differential quadrature method.
Appl. Math. Comput., 2011

2010
High-order solution of one-dimensional sine-Gordon equation using compact finite difference and DIRKN methods.
Math. Comput. Model., 2010

The Chebyshev spectral viscosity method for the time dependent Eikonal equation.
Math. Comput. Model., 2010

An efficient algorithm for solving general coupled matrix equations and its application.
Math. Comput. Model., 2010

Computing matrix functions using mixed interpolation methods.
Math. Comput. Model., 2010

Meshless local Petrov-Galerkin (MLPG) approximation to the two dimensional sine-Gordon equation.
J. Comput. Appl. Math., 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.
J. Comput. Appl. Math., 2010

On the reflexive and anti-reflexive solutions of the generalised coupled Sylvester matrix equations.
Int. J. Syst. Sci., 2010

Finding the optimal control of linear systems via He's variational iteration method.
Int. J. Comput. Math., 2010

The use of He's variational iteration method for solving variational problems.
Int. J. Comput. Math., 2010

Solution of the differential algebraic equations via homotopy perturbation method and their engineering applications.
Int. J. Comput. Math., 2010

Computation of two time-dependent coefficients in a parabolic partial differential equation subject to additional specifications.
Int. J. Comput. Math., 2010

Numerical solution of fourth-order integro-differential equations using Chebyshev cardinal functions.
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.
Int. J. Comput. Math., 2010

Analytical methods: the next frontier towards nonlinear science.
Int. J. Comput. Math., 2010

New iterative method for solving non-linear equations with fourth-order convergence.
Int. J. Comput. Math., 2010

Chaotic Behavior and Dynamics of Maps Used in a Method of Scrambling Signals.
Int. J. Bifurc. Chaos, 2010

A Not-a-Knot meshless method using radial basis functions and predictor-corrector scheme to the numerical solution of improved Boussinesq equation.
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.
Comput. Phys. Commun., 2010

High-order scheme for determination of a control parameter in an inverse problem from the over-specified data.
Comput. Phys. Commun., 2010

Collocation and finite difference-collocation methods for the solution of nonlinear Klein-Gordon equation.
Comput. Phys. Commun., 2010

Numerical solution of Riccati equation using the cubic B-spline scaling functions and Chebyshev cardinal functions.
Comput. Phys. Commun., 2010

A compact split-step finite difference method for solving the nonlinear Schrödinger equations with constant and variable coefficients.
Comput. Phys. Commun., 2010

Solution of a nonlinear time-delay model in biology via semi-analytical approaches.
Comput. Phys. Commun., 2010

Application of the dual reciprocity boundary integral equation technique to solve the nonlinear Klein-Gordon equation.
Comput. Phys. Commun., 2010

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

Numerical solution of the higher-order linear Fredholm integro-differential-difference equation with variable coefficients.
Comput. Math. Appl., 2010

A new operational matrix for solving fractional-order differential equations.
Comput. Math. Appl., 2010

Matrix equations over (R, S)-symmetric and (R, S)-skew symmetric matrices.
Comput. Math. Appl., 2010

Best uniform polynomial approximation of some rational functions.
Comput. Math. Appl., 2010

2009
Convergence of SSOR methods for linear complementarity problems.
Oper. Res. Lett., 2009

A meshless method for numerical solution of the one-dimensional wave equation with an integral condition using radial basis functions.
Numer. Algorithms, 2009

Method of lines solutions of the parabolic inverse problem with an overspecification at a point.
Numer. Algorithms, 2009

Fourth-order compact solution of the nonlinear Klein-Gordon equation.
Numer. Algorithms, 2009

Finite iterative algorithms for the reflexive and anti-reflexive solutions of the matrix equation A<sub>1</sub>X<sub>1</sub>B<sub>1</sub>+A<sub>2</sub>X<sub>2</sub>B<sub>2</sub>=C.
Math. Comput. Model., 2009

Rational Legendre pseudospectral approach for solving nonlinear differential equations of Lane-Emden type.
J. Comput. Phys., 2009

Direct numerical method for an inverse problem of a parabolic partial differential equation.
J. Comput. Appl. Math., 2009

Determination of a matrix function using the divided difference method of Newton and the interpolation technique of Hermite.
J. Comput. Appl. Math., 2009

Inverse of a fuzzy matrix of fuzzy numbers.
Int. J. Comput. Math., 2009

On the global behavior of a high-order rational difference equation.
Comput. Phys. Commun., 2009

Meshless local boundary integral equation (LBIE) method for the unsteady magnetohydrodynamic (MHD) flow in rectangular and circular pipes.
Comput. Phys. Commun., 2009

He's variational iteration method for solving nonlinear mixed Volterra-Fredholm integral equations.
Comput. Math. Appl., 2009

Improvement of He's variational iteration method for solving systems of differential equations.
Comput. Math. Appl., 2009

Variational iteration method for solving a generalized pantograph equation.
Comput. Math. Appl., 2009

The convergence of He's variational iteration method for solving integral equations.
Comput. Math. Appl., 2009

Quadrature rules using an arbitrary fixed order of derivatives.
Comput. Math. Appl., 2009

A lower bound for the product of eigenvalues of solutions to matrix equations.
Appl. Math. Lett., 2009

2008
A numerical method for solution of the two-dimensional sine-Gordon equation using the radial basis functions.
Math. Comput. Simul., 2008

High-order compact boundary value method for the solution of unsteady convection-diffusion problems.
Math. Comput. Simul., 2008

Solution of a model describing biological species living together using the variational iteration method.
Math. Comput. Model., 2008

Solution of delay differential equations via a homotopy perturbation method.
Math. Comput. Model., 2008

A new technique for solution of a parabolic inverse problem.
Kybernetes, 2008

Solution of the two dimensional second biharmonic equation with high-order accuracy.
Kybernetes, 2008

Some characteristics of solutions of a class of rational difference equations.
Kybernetes, 2008

Solution of population balance equations via rationalized Haar functions.
Kybernetes, 2008

Some Computations on Fuzzy Matrices: an Application in Fuzzy Analytical Hierarchy Process.
Int. J. Uncertain. Fuzziness Knowl. Based Syst., 2008

Chebyshev finite difference method for Fredholm integro-differential equation.
Int. J. Comput. Math., 2008

Numerical solution of nonlinear system of second-order boundary value problems using cubic B-spline scaling functions.
Int. J. Comput. Math., 2008

A non-trivial relation between some many-dimensional chaotic discrete dynamical systems and some one-dimensional chaotic discrete dynamical systems.
Comput. Phys. Commun., 2008

On the numerical solution of nonlinear systems of Volterra integro-differential equations with delay arguments.
Computing, 2008

The method of lines for solution of the one-dimensional wave equation subject to an integral conservation condition.
Comput. Math. Appl., 2008

A generalization of Fourier trigonometric series.
Comput. Math. Appl., 2008

The solution and duality of imprecise network problems.
Comput. Math. Appl., 2008

Dynamics of the difference equation x<sub>n+1</sub> = (x<sub>n</sub>+px<sub>n-k</sub>)/(x<sub>n</sub>+q).
Comput. Math. Appl., 2008

An iterative algorithm for solving a pair of matrix equations AYB=E, CYD=F over generalized centro-symmetric matrices.
Comput. Math. Appl., 2008

An iterative algorithm for the reflexive solutions of the generalized coupled Sylvester matrix equations and its optimal approximation.
Appl. Math. Comput., 2008

A survey on third and fourth kind of Chebyshev polynomials and their applications.
Appl. Math. Comput., 2008

2007
Application of the Adomian decomposition method for the Fokker-Planck equation.
Math. Comput. Model., 2007

The numerical solution of a nonlinear system of second-order boundary value problems using the sinc-collocation method.
Math. Comput. Model., 2007

On a recursive sequence.
Kybernetes, 2007

Time-splitting procedures for the solution of the two-dimensional transport equation.
Kybernetes, 2007

Determination of the degrees of P-property and nonnegative invertibility for a fuzzy matrix.
Int. J. Approx. Reason., 2007

Identifying a control function in parabolic partial differential equations from overspecified boundary data.
Comput. Math. Appl., 2007

Numerical solution of a biological population model using He's variational iteration method.
Comput. Math. Appl., 2007

A numerical method for two-dimensional Schrödinger equation using collocation and radial basis functions.
Comput. Math. Appl., 2007

Some implicit methods for the numerical solution of Burgers' equation.
Appl. Math. Comput., 2007

Preconditioned techniques for solving large sparse linear systems arising from the discretization of the elliptic partial differential equations.
Appl. Math. Comput., 2007

A probabilistic model for quadrature rules.
Appl. Math. Comput., 2007

Dynamics of x<sub>n-1</sub> = x<sub>n-2k+1</sub>/(x<sub>n-2k+1</sub>+alpha x<sub>n-2l</sub>).
Appl. Math. Comput., 2007

A simple form for the fourth order difference method for 3-D elliptic equations.
Appl. Math. Comput., 2007

Comparison of preconditioning techniques for solving linear systems arising from the fourth order approximation of the three-dimensional elliptic equation.
Appl. Math. Comput., 2007

The solution of coupled Burgers' equations using Adomian-Pade technique.
Appl. Math. Comput., 2007

Numerical solution of the nonlinear Fredholm integral equations by positive definite functions.
Appl. Math. Comput., 2007

2006
Finite difference procedures for solving a problem arising in modeling and design of certain optoelectronic devices.
Math. Comput. Simul., 2006

Determination of a control parameter in a one-dimensional parabolic equation using the method of radial basis functions.
Math. Comput. Model., 2006

Determination of a time-dependent parameter in a one-dimensional quasi-linear parabolic equation with temperature overspecification.
Int. J. Comput. Math., 2006

A statistical approach for economization of the polynomial functions.
Int. J. Comput. Math., 2006

The solution of a second-order nonlinear differential equation with Neumann boundary conditions using semi-orthogonal B-spline wavelets.
Int. J. Comput. Math., 2006

Solution of a partial integro-differential equation arising from viscoelasticity.
Int. J. Comput. Math., 2006

A Tau Method for the One-Dimensional Parabolic Inverse Problem Subject to Temperature Overspecification.
Comput. Math. Appl., 2006

Global stability of y<sub>n+1</sub>=(p+qx<sub>n</sub>+ry<sub>n-k</sub>)/(1+y<sub>n</sub>).
Appl. Math. Comput., 2006

The study of a class of rational difference equations.
Appl. Math. Comput., 2006

Dynamics of a non-linear difference equation.
Appl. Math. Comput., 2006

The second kind Chebyshev quadrature rules of semi-open type and its numerical improvement.
Appl. Math. Comput., 2006

On some statistical integral equations.
Appl. Math. Comput., 2006

The second kind Chebyshev-Newton-Cotes quadrature rule (open type) and its numerical improvement.
Appl. Math. Comput., 2006

On selection of the best coefficients in interpolatory quadrature rules.
Appl. Math. Comput., 2006

The first kind Chebyshev-Newton-Cotes quadrature rules (semi-open type) and its numerical improvement.
Appl. Math. Comput., 2006

Numerical integration using the derivatives.
Appl. Math. Comput., 2006

A note on equal coefficient quadrature rules.
Appl. Math. Comput., 2006

Determination of nodes in numerical integration rules using difference equation.
Appl. Math. Comput., 2006

Minimizing the error function of Gauss-Jacobi quadrature rule with respect to parameters alpha and beta.
Appl. Math. Comput., 2006

Oscillation and asymptotic behavior of a class of higher order nonlinear recursive sequences.
Appl. Math. Comput., 2006

On the higher order rational recursive sequence x<sub>n</sub>=(A/n<sub>n-k</sub>) + (B/x<sub>n-3k</sub>).
Appl. Math. Comput., 2006

On numerical improvement of open Newton-Cotes quadrature rules.
Appl. Math. Comput., 2006

Weighted quadrature rules with weight function x<sup>-p</sup>e<sup>-1/x</sup> on [0, infinity).
Appl. Math. Comput., 2006

The characteristics of a higher-order rational difference equation.
Appl. Math. Comput., 2006

Multigrid solution of high order discretisation for three-dimensional biharmonic equation with Dirichlet boundary conditions of second kind.
Appl. Math. Comput., 2006

Dynamics of a higher-order rational difference equation.
Appl. Math. Comput., 2006

On the recursive sequence x<sub>n+1</sub>=(alpha + beta x<sub>n-k+1</sub>) / (A + Bx<sub>n-k+1</sub> + Cx<sub>n-2k+1</sub>).
Appl. Math. Comput., 2006

Computational methods for solving fully fuzzy linear systems.
Appl. Math. Comput., 2006

Iterative solution of fuzzy linear systems.
Appl. Math. Comput., 2006

Solution of the fully fuzzy linear systems using the decomposition procedure.
Appl. Math. Comput., 2006

Global stability of a higher order rational recursive sequence.
Appl. Math. Comput., 2006

The oscillatory character of the recursive sequence x<sub>n+1</sub>=(alpha+beta x<sub>n-k+1</sub>)/(A+Bx<sub>n-2k+1</sub>).
Appl. Math. Comput., 2006

On numerical integration methods with T-distribution weight function.
Appl. Math. Comput., 2006

Application of Gauss quadrature rule in finding bounds for solution of linear systems of equations.
Appl. Math. Comput., 2006

On numerical integration methods with the generalized Stieltjes weight function.
Appl. Math. Comput., 2006

A symmetric sequence of orthogonal polynomials associated with the Stieltjes-Wigert polynomials.
Appl. Math. Comput., 2006

2005
Sinc-galerkin solution for nonlinear two-point boundary value problems with applications to chemical reactor theory.
Math. Comput. Model., 2005

Parameter determination in a partial differential equation from the overspecified data.
Math. Comput. Model., 2005

Hartley series approximations for the parabolic equations.
Int. J. Comput. Math., 2005

Study of a system of non-linear difference equations arising in a deterministic model for HIV infection.
Appl. Math. Comput., 2005

The first kind Chebyshev-Lobatto quadrature rule and its numerical improvement.
Appl. Math. Comput., 2005

On numerical improvement of Gauss-Radau quadrature rules.
Appl. Math. Comput., 2005

The first kind Chebyshev-Newton-Cotes quadrature rules (closed type) and its numerical improvement.
Appl. Math. Comput., 2005

On numerical improvement of the first kind Gauss-Chebyshev quadrature rules.
Appl. Math. Comput., 2005

The equal coefficients quadrature rules and their numerical improvement.
Appl. Math. Comput., 2005

The qualitative behavior of solutions of a nonlinear difference equation.
Appl. Math. Comput., 2005

On the global behavior of higher order recursive sequences.
Appl. Math. Comput., 2005

On numerical improvement of the second kind of Gauss-Chebyshev quadrature rules.
Appl. Math. Comput., 2005

On numerical improvement of closed Newton-Cotes quadrature rules.
Appl. Math. Comput., 2005

The semi-open Newton-Cotes quadrature rule and its numerical improvement.
Appl. Math. Comput., 2005

Dynamics of a rational difference equation using both theoretical and computational approaches.
Appl. Math. Comput., 2005

On the recursive sequence x<sub>n+1</sub> = (a + bx<sub>n-k+1</sub>gx<sub>n-2k+1</sub>) / (Bx<sub>n-k+1</sub> + Cx<sub>n-2k+1</sub>).
Appl. Math. Comput., 2005

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

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

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

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

Numerical solution of a parabolic equation subject to specification of energy.
Appl. Math. Comput., 2004

Numerical computation of a control function in a partial differential equation.
Appl. Math. Comput., 2004

Numerical schemes for one-dimensional parabolic equations with nonstandard initial condition.
Appl. Math. Comput., 2004

Weighted finite difference techniques for the one-dimensional advection-diffusion equation.
Appl. Math. Comput., 2004

Numerical procedures for a boundary value problem with a non-linear boundary condition.
Appl. Math. Comput., 2004

Numerical solution of the three-dimensional advection-diffusion equation.
Appl. Math. Comput., 2004

Three-level techniques for one-dimensional parabolic equation with nonlinear initial condition.
Appl. Math. Comput., 2004

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

2003
Determination of a control function in three-dimensional parabolic equations.
Math. Comput. Simul., 2003

Saulyev's Techniques for Solving a Parabolic Equation with a Non Linear Boundary Specification.
Int. J. Comput. Math., 2003

The Determination of a Control Parameter in a Two-Dimensional Diffusion Equation Using a Dual-Reciprocity Boundary Element Method.
Int. J. Comput. Math., 2003

Numerical solution of one-dimensional parabolic inverse problem.
Appl. Math. Comput., 2003

Finding a control parameter in one-dimensional parabolic equations.
Appl. Math. Comput., 2003

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

Parallel techniques for a boundary value problem with non-classic boundary conditions.
Appl. Math. Comput., 2003

Numerical solution of a parabolic equation with non-local boundary specifications.
Appl. Math. Comput., 2003

Identifying a control function in two-dimensional parabolic inverse problems.
Appl. Math. Comput., 2003

Fractional step methods for parabolic equations with a non-standard condition.
Appl. Math. Comput., 2003

2002
Numerical techniques for a parabolic equation subject to an overspecified boundary condition.
Appl. Math. Comput., 2002

2001
Numerical methods for two-dimensional parabolic inverse problem with energy overspecification.
Int. J. Comput. Math., 2001

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

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

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

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


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