Numerical Solution of Fractional Integro-Differential Equations Via Fourth-Degree Hat Functions

Jehad K. Mohammed; Ayad Khudair

doi:10.52866/ijcsm.2023.02.02.001

Numerical Solution of Fractional Integro-Differential Equations Via Fourth-Degree Hat Functions

Authors

Jehad K. Mohammed Department of Mathematics, College of Education for Pure Science, University of Basrah, Basrah, Iraq
Ayad Khudair Basra University, Faculty of Science Department of Mathematics, Basra, Iraq

DOI:

https://doi.org/10.52866/ijcsm.2023.02.02.001

Keywords:

Fourth-degree hat functions; Fractional integro-differential equations; Caputo derivative; Error analysis

Abstract

The goal of this paper is to construct new fourth-degree hat functions (FDHFs) and study their
properties in order to develop a new numerical method for solving fractional integro-differential equations. The
equation under consideration is transformed into a set of algebraic equations by using FDHFs, which makes it
simple to solve the system using one of the iterative methods. In fact, this method’s advantage was that it was
easy to use and had fifth-order convergence, as we showed in the section on error analysis. The numerical results
demonstrate that the new technique works well through the presented examples.

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Published

2023-02-26

How to Cite

[1]

Jehad K. Mohammed and A. Khudair, “Numerical Solution of Fractional Integro-Differential Equations Via Fourth-Degree Hat Functions”, Iraqi Journal For Computer Science and Mathematics, vol. 4, no. 2, pp. 10–30, Feb. 2023.