Numerical solution of a class of Integro-Differential equations by the Tau Method with an error estimation. - S. M. Hosseini; Sedaghat Shahmorad (Appl. Math. Comput., 2003)

Numerical solution of the system of Fredholm integro-differential equations by the Tau method. - Jafar Pour-Mahmoud; Mohammad Y. Rahimi-Ardabili; Sedaghat Shahmorad (Appl. Math. Comput., 2005)

Numerical solution of Volterra integro-differential equations by the Tau method with the Chebyshev and Legendre bases. - Jafar Pour-Mahmoud; Mohammad Y. Rahimi-Ardabili; Sedaghat Shahmorad (Appl. Math. Comput., 2005)

Numerical solution of the general form linear Fredholm-Volterra integro-differential equations by the Tau method with an error estimation. - Sedaghat Shahmorad (Appl. Math. Comput., 2005)

Numerical solution of the nonlinear Volterra integro-differential equations by the Tau method. - Ghodrat Ebadi; Mohammad Y. Rahimi-Ardabili; Sedaghat Shahmorad (Appl. Math. Comput., 2007)

Iterative numerical solution of non-linear integro-differential equations by the Tau method. - Mohammad Y. Rahimi-Ardabili; Sedaghat Shahmorad (Appl. Math. Comput., 2007)

Development of the Tau Method for the Numerical Solution of Two-dimensional Linear Volterra Integro-differential Equations. - Abolfazl Tari Marzabad; Mohammad Y. Rahimi-Ardabili; Sedaghat Shahmorad; Faramarz Talati (Comput. Methods Appl. Math., 2009)

Approximate Solution of a Singular Integral Cauchy-Kernel Equation of the First Kind. - M. Kashfi; Sedaghat Shahmorad (Comput. Methods Appl. Math., 2010)

Application of the fractional differential transform method to fractional-order integro-differential equations with nonlocal boundary conditions. - D. Nazari; Sedaghat Shahmorad (J. Comput. Appl. Math., 2010)

Differential transform method for the system of two-dimensional nonlinear Volterra integro-differential equations. - Abolfazl Tari Marzabad; Sedaghat Shahmorad (Comput. Math. Appl., 2011)

A new two-step P-stable hybrid Obrechkoff method for the numerical integration of second-order IVPs. - Ali Shokri 002; Mohammad Y. Rahimi-Ardabili; Sedaghat Shahmorad; Gholamreza Hojjati (J. Comput. Appl. Math., 2011)

An Approximation Method Based on Matrix Formulated Algorithm for the Heat Equation with Nonlocal Boundary Conditions. - Sedaghat Shahmorad; Abdollah Borhanifar; Babak Soltanalizadeh (Comput. Methods Appl. Math., 2012)

Super implicit multistep collocation methods for nonlinear Volterra integral equations. - Somayyeh Fazeli; Gholamreza Hojjati; Sedaghat Shahmorad (Math. Comput. Model., 2012)

Multistep Hermite collocation methods for solving Volterra Integral Equations. - Somayyeh Fazeli; Gholamreza Hojjati; Sedaghat Shahmorad (Numer. Algorithms, 2012)

An operational approach with Pade approximant for the numerical solution of non-linear Fredholm integro-differential equations. - Ali Khani; Sedaghat Shahmorad (Sci. Iran., 2012)

A computational method for solving two-dimensional linear Volterra integral equations of the first kind. - Abolfazl Tari Marzabad; Sedaghat Shahmorad (Sci. Iran., 2012)

Convergence analysis of piecewise continuous collocation methods for higher index integral algebraic equations of the Hessenberg type. - Babak Shiri; Sedaghat Shahmorad; Gholamreza Hojjati (Int. J. Appl. Math. Comput. Sci., 2013)

Hermite and piecewise cubic Hermite interpolation of fuzzy data. - Masoumeh Zeinali; Sedaghat Shahmorad; Kamal Mirnia (J. Intell. Fuzzy Syst., 2014)

A matrix based method for two dimensional nonlinear Volterra-Fredholm integral equations. - Seyyed Ahmad Hosseini; Sedaghat Shahmorad; Faramarz Talati (Numer. Algorithms, 2015)

Topological quantum codes from self-complementary self-dual graphs. - Avaz Naghipour; Mohammad Ali Jafarizadeh; Sedaghat Shahmorad (Quantum Inf. Process., 2015)

On the Accuracy of Fm-transform Approximation in Boundary Subintervals. - Masoumeh Zeinali; Sedaghat Shahmorad (HPCS, 2017)

Analytical lie group approach for solving fractional integro-differential equations. - S. Pashayi; Mir Sajjad Hashemi; Sedaghat Shahmorad (Commun. Nonlinear Sci. Numer. Simul., 2017)

Approximate solution of dual integral equations using Chebyshev polynomials. - S. Ahdiaghdam; Sedaghat Shahmorad; Karim Ivaz (Int. J. Comput. Math., 2017)

A matrix formulated algorithm for solving parabolic equations with nonlocal boundary conditions. - Abdollah Borhanifar; Sedaghat Shahmorad; Esmaeil Feizi (Numer. Algorithms, 2017)

Trigonometric $$F^m$$ F m -transform and its approximative properties. - Robab Alikhani; Masoumeh Zeinali; Fariba Bahrami; Sedaghat Shahmorad; Irina Perfilieva (Soft Comput., 2017)

On the structural properties of Fm-transform with applications. - Masoumeh Zeinali; Robab Alikhani; Sedaghat Shahmorad; Fariba Bahrami; Irina Perfilieva (Fuzzy Sets Syst., 2018)

An equivalence lemma for a class of fuzzy implicit integro-differential equations. - Masoumeh Zeinali; Sedaghat Shahmorad (J. Comput. Appl. Math., 2018)

New fractional Lanczos vector polynomials and their application to system of Abel-Volterra integral equations and fractional differential equations. - Dajana Conte; Sedaghat Shahmorad; Younes Talaei (J. Comput. Appl. Math., 2020)

Numerical solution of the time-fractional Navier-Stokes equations for incompressible flow in a lid-driven cavity. - Ayub Abedini; Karim Ivaz; Sedaghat Shahmorad; Abdolrahman Dadvand (Comput. Appl. Math., 2021)

A new recursive spectral Tau method on system of generalized Abel-Volterra integral equations. - Sedaghat Shahmorad; Payam Mokhtary; Younes Talaei; Amin Faghih (CoRR, 2021)

Quickest flow over time network interdiction: mathematical formulation and a solution method. - Shahram Morowati-Shalilvand; Sedaghat Shahmorad; Kamal Mirnia; Javad Mehri-Tekmeh (Oper. Res., 2021)

Fractional differential equations, compatibility, and exact solutions. - Ramin Najafi; Fariba Bahrami; Sedaghat Shahmorad (Comput. Appl. Math., 2022)

Recursive higher order fuzzy transform method for numerical solution of Volterra integral equation with singular and nonsingular kernels. - Masoumeh Zeinali; Fariba Bahrami; Sedaghat Shahmorad (J. Comput. Appl. Math., 2022)

A new Tau-collocation method with fractional basis for solving weakly singular delay Volterra integro-differential equations. - G. Azizipour; Sedaghat Shahmorad (J. Appl. Math. Comput., 2022)

Fuzzy transform-based approximation method for solving fractional semi-explicit differential-algebraic equations. - Fariba Bahrami; Saeedeh Mirzajani; Sedaghat Shahmorad (Soft Comput., 2023)

Review of recursive and operational approaches of the Tau method with a new extension. - Sedaghat Shahmorad; Younes Talaei; Cemil Tunç (Comput. Appl. Math., 2023)

Solving 2D-integro-differential problems with nonlocal boundary conditions via a matrix formulated approach. - Abdollah Borhanifar; Sedaghat Shahmorad; Esmaeil Feizi; Dumitru Baleanu (Math. Comput. Simul., 2023)

Existence, uniqueness and blow-up of solutions for generalized auto-convolution Volterra integral equations. - Mahdi Mostafazadeh; Sedaghat Shahmorad; Fevzi Erdogan (Appl. Math. Comput., 2024)

Double weakly singular kernels in stochastic Volterra integral equations with application to the rough Heston model. - O. Farkhondeh Rouz; Sedaghat Shahmorad; Davood Ahmadian (Appl. Math. Comput., 2024)

Convergence analysis of Jacobi spectral tau-collocation method in solving a system of weakly singular Volterra integral equations. - Mahdi Mostafazadeh; Sedaghat Shahmorad (Math. Comput. Simul., 2024)

Theoretical and numerical analysis of a first-kind linear Volterra functional integral equation with weakly singular kernel and vanishing delay. - Niloofar Naghdi; Sedaghat Shahmorad (Numer. Algorithms, 2024)

Approximate solution of multi-term fractional differential equations via a block-by-block method. - Roghayeh Katani; Sedaghat Shahmorad; Dajana Conte (J. Comput. Appl. Math., 2025)