Computational Methods for Differential Equations

Keywords = Collocation method

Unveiling accurate numerical solutions of time-dependent nonlinear models via a modified hyperbolic polynomial collocation approach

Articles in Press, Accepted Manuscript, Available Online from 12 July 2025

10.22034/cmde.2025.66726.3147

Kolade M. Owolabi; Berat Karaagac

Treatment of Fractional Burgers-Fisher equation Using Taylor Wavelets

Articles in Press, Accepted Manuscript, Available Online from 13 August 2025

10.22034/cmde.2025.65899.3059

Zaid Alkhafaji; Ali Khani; Nasser Aghazadeh

Introducing Muntz-Kajani wavelet and its application in the numerical solution of a HIV infection of CD4+T cells model

Articles in Press, Accepted Manuscript, Available Online from 24 August 2025

10.22034/cmde.2025.66682.3140

Afkar Kareem Mnahi; Majid Tavassoli Kajani; Mohammed Jasim Mohammed; Masoud Allame

A multi-interval continuous collocation method for Volterra integral equations of the third kind

Articles in Press, Accepted Manuscript, Available Online from 19 December 2025

10.22034/cmde.2025.67851.3244

Ali Davari

An approach for solving the generalized fractional Burgers-Fisher equation

Articles in Press, Accepted Manuscript, Available Online from 31 December 2025

10.22034/cmde.2025.69053.3389

Zaid Alkhafaji; Ali Khani

On a discrete collocation method for solving nonlinear system of two-dimensional integral equations

Articles in Press, Accepted Manuscript, Available Online from 01 January 2026

10.22034/cmde.2025.69615.3438

Falah Ibrahim Neamah; Saeed Sohrabi; Esmaeil Najafi

COLLOCATION METHOD USING AUTO-CORRELATION FUNCTIONS OF COMPACT SUPPORTED WAVELET FOR SOLVING BURGERS' EQUATION

Articles in Press, Accepted Manuscript, Available Online from 10 May 2026

10.22034/cmde.2026.71478.3592

Mahnaz Zafari; Amjad AliPanah

Efficient Numerical Algorithms for Pricing Complex Financial Derivatives in Fractional Black-Scholes Models

Articles in Press, Accepted Manuscript, Available Online from 10 May 2026

10.22034/cmde.2026.69373.3413

Hamed Payandehdoost Masouleh; Mojgan Esmailzadeh

Analyzing the MHD boundary layer flow of Rivlin-Ericksen fluid over a stretching sheet by applying the Taylor wavelet approach

Volume 14, Issue 2, April 2026, Pages 590-605

10.22034/cmde.2024.61873.2695

Prithvi Suresh; Vidya Shree Ramareddy; Patil Mallikarjun Basavaraj

An efficient numerical solution of the optimal control mathematical models for pollutant spread through forest resources based on shifted Bernoulli polynomials

Volume 14, Issue 1, January 2026, Pages 305-315

10.22034/cmde.2025.63589.2838

Asiyeh Ebrahimzadeh; Elham Keshavarz Hedayati

Spectral collocation algorithm for the fractional Bratu equation via Hexic shifted Chebyshev polynomials

Volume 13, Issue 4, October 2025, Pages 1102-1116

10.22034/cmde.2024.61045.2621

Ahmed Gamal Atta; Jomana Farag Soliman; Elaf Wael Elsaeed; Mostafa Wael Elsaeed; Youssri Hassan Youssri

The use of the Sinc-collocation method for solving steady-state concentrations of carbon dioxide absorbed into phenyl glycidyl ether

Volume 12, Issue 4, October 2024, Pages 857-865

10.22034/cmde.2024.55413.2304

Fatemeh Zabihi

A new perspective for the Quintic B-spline collocation method via the Lie-Trotter splitting algorithm to solitary wave solutions of the GEW equation

Volume 12, Issue 3, July 2024, Pages 544-560

10.22034/cmde.2024.58169.2454

Melike Karta

Numerical solution of fractional Volterra integro-differential equations using flatlet oblique multiwavelets

Volume 12, Issue 2, March 2024, Pages 374-391

10.22034/cmde.2023.56933.2382

Zahra Shafinejhad; Mohammad Zarebnia

Spectral collocation method based on special functions for solving nonlinear high-order pantograph equations

Volume 11, Issue 3, June 2023, Pages 589-604

10.22034/cmde.2022.51962.2170

Sagithya Thirumalai; Rajeswari Seshadri; Suayip Yuzbasi

Numerical solution of space-time fractional PDEs with variable coefficients using shifted Jacobi collocation method

Volume 11, Issue 1, January 2023, Pages 81-94

10.22034/cmde.2022.49901.2077

Samira Bonyadi; Yaghoub Mahmoudi; Mehrdad Lakestani; Mohammad Jahangiri rad

A new application for numerical computations of the modified equal width equation (MEW) based on Lumped Galerkin method with the cubic B-spline

Volume 11, Issue 1, January 2023, Pages 95-107

10.22034/cmde.2022.51278.2133

Melike Karta

A novel perspective for simulations of the MEW equation by trigonometric cubic B-spline collocation method based on Rubin-Graves type linearization

Volume 10, Issue 4, October 2022, Pages 1046-1058

10.22034/cmde.2021.47358.1981

Nuri Murat Yağmurlu; Ali Sercan Karakaş

Approximate price of the option under discretization by applying fractional quadratic interpolation

Volume 10, Issue 4, October 2022, Pages 1075-1085

10.22034/cmde.2021.45656.1918

Hamid Mesgarani; Adele Adl; Yones Esmaeelzade Aghdam

Studying the thermal analysis of rectangular cross section porous fin: A numerical approach

Volume 10, Issue 2, April 2022, Pages 338-350

10.22034/cmde.2021.37458.1669

Waleed Adel; Ahmet Yildirim

Shifted Jacobi collocation method for Volterra-Fredholm integral equation

Volume 10, Issue 2, April 2022, Pages 408-418

10.22034/cmde.2021.38146.1680

Amany Saad Mohamed

Cubic B-spline collocation method on a non-uniform mesh for solving nonlinear parabolic partial differential equation

Volume 10, Issue 1, January 2022, Pages 28-43

10.22034/cmde.2020.39472.1726

Swarn Singh; Sandeep Bhatt; Suruchi Singh

Laguerre collocation method for solving Lane-Emden type equations

Volume 9, Issue 4, October 2021, Pages 1176-1197

10.22034/cmde.2020.35895.1621

Ali Zamiri; Abdollah Borhanifar; Amin Ghannadiasl

An approximation to the solution of one-dimensional hyperbolic telegraph equation based on the collocation of quadratic B-spline functions

Volume 9, Issue 4, October 2021, Pages 1198-1213

10.22034/cmde.2020.40112.1749

Mohammad Zarebnia; Reza Parvaz

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

Computational Methods for Differential Equations

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