A Hybrid Kharrat-Toma Transform with Homotopy Perturbation Method for Solving Integro-Differential Equations

Authors

Keywords:

Homotopy perturbation method, Kharrat-Toma transform method, Integro-differential equations

Abstract

This article presents an effective hybrid semi-analytical method for dealing with the integro-differential
equations. This new technique is based on the combining of the Kharrat-Toma integral transform with the
homotopy perturbation method to find the exact or approximate solutions of both linear and nonlinear models. Several examples are illustrated to test the power and efficiency of the proposed method. Further, the
obtained results of the hybrid approach are implemented in Maple software.

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Published

2021-07-26

How to Cite

Alturky, S., & TOMA, G. A. . (2021). A Hybrid Kharrat-Toma Transform with Homotopy Perturbation Method for Solving Integro-Differential Equations. Journal of Mathematical Analysis and Modeling, 2(2), 50–62. Retrieved from https://sabapub.com/index.php/jmam/article/view/233