Abstract
The goal of this paper is to construct new fourth-degree hat functions (FDHFs) and study theirproperties in order to develop a new numerical method for solving fractional integro-differential equations. Theequation under consideration is transformed into a set of algebraic equations by using FDHFs, which makes itsimple to solve the system using one of the iterative methods. In fact, this method’s advantage was that it waseasy to use and had fifth-order convergence, as we showed in the section on error analysis. The numerical resultsdemonstrate that the new technique works well through the presented examples.
Recommended Citation
Mohammed, Jehad K.; Khudair, Ayad R.; and Pandian, N Rajesh
(2023)
"Numerical Solution of Fractional Integro-Differential EquationsVia Fourth-Degree Hat Functions,"
Iraqi Journal for Computer Science and Mathematics: Vol. 4:
Iss.
2, Article 2.
DOI: https://doi.org/10.52866/ijcsm.2023.02.02.001
Available at:
https://ijcsm.researchcommons.org/ijcsm/vol4/iss2/2
