Computational Methods for Differential Equations

Keywords = Caputo derivative

A novel high-order approximation method for higher-dimensional time-fractional reaction-diffusion problems with weak initial singularity

Articles in Press, Accepted Manuscript, Available Online from 05 June 2025

10.22034/cmde.2025.61994.2712

Richa Singh; Anshima Singh; Sunil Kumar; Jesus Vigo-Aguiar

A robust numerical method to find the solutions of time-fractional Klein-Gordon equation

Volume 13, Issue 2, March 2025, Pages 709-720

10.22034/cmde.2024.63968.2876

Jorge Sebastian Bunay Guaman; Akram H. Shather; Abbas Hameed Abdul Hussein; Nabaa Muhammad Diaa; Mohammed Khalid; Nihad Abdul Kareem; Saleh Naji Sreseh; Juan Jose Flores Fialos

A method of lines for solving the nonlinear time- and space-fractional Schrödinger equation via stable Gaussian radial basis function interpolation

Volume 13, Issue 1, January 2025, Pages 41-60

10.22034/cmde.2024.54090.2265

Behnam Sepehrian; Zahra Shamohammadi

A numerical method for solving fractional optimal control problems using the operational matrix of Mott polynomials

Volume 10, Issue 3, July 2022, Pages 755-773

10.22034/cmde.2021.39419.1728

Seyyed Ali Alavi; Ahmadreza Haghighi; Ayatollah Yari; Fahimeh Soltanian

Analysis of non-hyperbolic equilibria for Caputo fractional system

Volume 10, Issue 2, April 2022, Pages 298-306

10.22034/cmde.2021.41486.1799

Marvin Hoti

Numerical solution of space fractional diffusion equation using shifted Gegenbauer polynomials

Volume 10, Issue 2, April 2022, Pages 431-444

10.22034/cmde.2020.42106.1818

Kazeem Issa; Babatunde M. Yisa; Jafar Biazar

Numerical solution for solving fractional parabolic partial differential equations

Volume 10, Issue 1, January 2022, Pages 121-143

10.22034/cmde.2021.41150.1787

Jalil Rashidinia; Elham Mohmedi

Collocation method based on Chebyshev polynomials for solving distributed order fractional differential equations

Volume 9, Issue 3, July 2021, Pages 858-873

10.22034/cmde.2020.38506.1695

Marzieh Pourbabaee; Abbas Saadatmandi

Exact solutions and numerical simulations of time-fractional Fokker-Plank equation for special stochastic process

Volume 9, Issue 1, January 2021, Pages 258-272

10.22034/cmde.2019.30717.1458

Reza Hejazi; Azadeh Naderifard; Soleiman Hosseinpour; Elham Dastranj

The solving integro-differential equations of fractional order with the ultraspherical functions

Volume 8, Issue 1, January 2020, Pages 205-211

10.22034/cmde.2019.9655

Ali Khani; Saeid Panahy

On a novel modification of the Legendre collocation method for solving fractional diffusion equation

Volume 7, Issue 3, July 2019, Pages 480-496

Hosein Jaleb; Hojatollah Adibi

Numerical solution of nonlinear mixed Fredholm-Volterra integro-differential equations of fractional order by Bernoulli wavelets

Volume 7, Issue 2, April 2019, Pages 163-176

Elham Keshavarz; Yadollah Ordokhani; Mohsen Razzaghi

A new method based on fourth kind Chebyshev wavelets to a fractional-order model of HIV infection of CD4+T cells

Volume 6, Issue 3, July 2018, Pages 353-371

Haman Deilami Azodi; Mohammad Reza Yaghouti

Fractional-order Legendre wavelets and their applications for solving fractional-order differential equations with initial/boundary conditions

Volume 5, Issue 2, April 2017, Pages 117-140

Parisa Rahimkhani; Yadollah Ordokhani; Esmail Babolian

Sinc operational matrix method for solving the Bagley-Torvik equation

Volume 5, Issue 1, January 2017, Pages 56-66

Mohammad-Reza Azizi; Ali Khani

Analytical solutions for the fractional Klein-Gordon equation

Volume 2, Issue 2, April 2014, Pages 99-114

Hosseni Kheiri; Samane Shahi; Aida Mojaver

Computational Methods for Differential Equations

Journal Archive

Volume 13 (2025)

Volume 12 (2024)

Volume 11 (2023)

Volume 10 (2022)

Volume 9 (2021)

Volume 8 (2020)

Volume 7 (2019)

Volume 6 (2018)

Volume 5 (2017)

Volume 4 (2016)

Volume 3 (2015)

Volume 2 (2014)

Volume 1 (2013)