Main Subjects = Fractional partial differential equations
Number of Articles: 29
A Multigrid Solver for Subdiffusion Equations

Articles in Press, Accepted Manuscript, Available Online from 07 May 2025

10.22034/cmde.2025.65520.3017

Reza Mokhtari; Mohadeseh Ramezani; Gundolf Haase

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

Trigonometric Cubic B - Spline Collocation Method for Time Fractional Diffusion Equation

Articles in Press, Accepted Manuscript, Available Online from 04 August 2025

10.22034/cmde.2025.66393.3103

Zainab Kammappa; Ashish Awasthi

Optimal solution of the nonlinear time fractional diffusion-wave equation using generalized Laguerre polynomials

Articles in Press, Accepted Manuscript, Available Online from 11 August 2025

10.22034/cmde.2025.66412.3097

Narges Goudarzian; Hossein Hassani; Mohammad Shafi Dahaghin

A Collocation Approach Using Cubic Unified Extended Trigonometric Tension ‎B-Splines for Solving the Time-Fractional Telegraph Equation

Articles in Press, Accepted Manuscript, Available Online from 11 August 2025

10.22034/cmde.2025.66344.3090

Mohammad Tamsir; Neeraj Dahman; Deependra Nigam; Anand Chauhan; Waleed Adel

A Robust Analytical Approach to Study the Impact of Fuzzy Initial Conditions on Time-Fractional Fisher's Equation

Articles in Press, Accepted Manuscript, Available Online from 04 September 2025

10.22034/cmde.2025.62583.2769

Yogeshwari F. Patel; Jayesh M. Dhodiya

A Novel Neural Network Architecture for Solving Fractional Differential Equations

Articles in Press, Accepted Manuscript, Available Online from 14 September 2025

10.22034/cmde.2025.63059.2803

Hassan Dana Mazraeh; Ali Nosrati Firoozsalari; Alireza Afzal Aghaei; Kourosh Parand

High-accuracy fully discrete schemes for 2D time-space fractional models with nonlinear dynamics

Articles in Press, Accepted Manuscript, Available Online from 08 October 2025

10.22034/cmde.2025.68655.3338

Safar Irandoust-pakchin; Mohammad Hossein Derakhshan; Mohamed Adel

On theoretical and numerical analysis of Time-Fractional Fornberg-Whitham Equation

Articles in Press, Accepted Manuscript, Available Online from 11 October 2025

10.22034/cmde.2025.65002.2966

Hassan Kamil Jassim; Mohammed Taimah Yasser

Traveling wave solutions of nonlinear evolution equations via the F-expansion method

Articles in Press, Accepted Manuscript, Available Online from 07 November 2025

10.22034/cmde.2025.66357.3092

Salim Saeed Mahmood; Muhammad Amin Sadiq Murad; Shilan Sofe Omer; Shaima Sofe Omer; Shaima Jamel Saeed

Exploring the fractional optical solitary wave structures with parametric effects to the generalized coupled nonlinear Schrodinger-KdV Equations

Articles in Press, Accepted Manuscript, Available Online from 09 April 2026

10.22034/cmde.2025.65850.3052

Jan Muhammad; Usman Younas; Muhammad Amin Sadiq Murad

Quartic B-spline method for solving time fractional telegraph equation

Articles in Press, Accepted Manuscript, Available Online from 20 April 2026

10.22034/cmde.2025.66790.3154

Bushra A. Taha; Fahad K. Nashmi

A novel algorithm based on spectral confluent Appell-Changhee polynomials for solving nonlinear models arising in mathematical physics

Articles in Press, Accepted Manuscript, Available Online from 08 June 2026

10.22034/cmde.2025.66003.3067

Saad. Z. Rida; Anas. A. M. Arafa; Hussein. S. Hussein; Marwa Mostafa; Ismail. Gad. Ameen

Semi-analytical solutions for time-fractional Cauchy reaction-diffusion equations via the new Elazki transform iterative method

Volume 13, Issue 4, October 2025, Pages 1201-1215

10.22034/cmde.2024.53470.2253

Shivaji Ashok Tarate; Ashok P Bhadane; Shrikisan B Gaikwad; Kishor Ashok Kshirsagar

Generalized Solutions for Conformable Schrödinger Equation with Singular Potentials

Volume 13, Issue 2, March 2025, Pages 373-383

10.22034/cmde.2024.56240.2350

Abdelmjid Benmerrous; Lalla Saadia Chadli; Abdelaziz Moujahid; M'hamed Elomari; Said Melliani

A novel hybrid approach to approximate fractional sub-diffusion equation

Volume 13, Issue 2, March 2025, Pages 420-431

10.22034/cmde.2024.58832.2491

Mahboubeh Molavi-Arabshahi; Jalil Rashidinia; Mahnaz Yousefi

Application of a new method for nonlinear partial differential equations of fractional order arising in fluid mechanics

Volume 13, Issue 1, January 2025, Pages 1-12

10.22034/cmde.2024.60583.2594

Oleg Kazakov; Nurgali Uteuliyev; Diana Denisova; Liya Shangaraeva; Galina Vukovich

Computational Methods for Differential Equations

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