Work

A new fourth-order grouping iterative method for the time fractional sub-diffusion equation having a weak singularity at initial time

Year: 2023

Type: article

Abstract: A new fourth-order explicit grouping iterative method is constructed for the numerical solution of the fractional sub-diffusion equation. The discretization of the equation is based on fourth-order finite difference method. Captive fractional discretization having functions with a weak singularity at $ t = 0 $ is used for time and similarly, the space derivative is approximated with the help of fourth-order approximation. Furthermore, the convergence and stability of the scheme are analyzed. Finally, the accuracy and validity are investigated by some numerical examples.

Source: AIMS Mathematics

DOI: 10.3934/math.2023697

Authors: Muhammad Asim Khan, Norma Alias, Umair Ali

Institutions: University of Technology Malaysia, Institute of Space Technology

Language: English

Topic: Fractional Differential Equations Solutions

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,200

OpenAlex ID: W4364856496