Solution of non-linear partial differential equations by Shehu transform and its applications

Rachid Belgacem; Ahmed Bokhari; Mohamed Kadi; Djelloul Ziane

doi:10.26637/MJM0804/0109

Abstract

The aim of this paper is to combine the homotopy perturbation method and the new integral transform, namely, Shehu transform, which generalize both the Sumudu and Laplace integral transforms, in order to deduce an analytical solution of the non-linear partial differential equations. Several non-linear partial differential equations arising in various models are treated to prove the reliability of this method. It has been shown that the method provides a powerful tool for solving these equations.

Keywords:

Homotopy perturbation method, Shehu transform method, non-linear partial differential equationsnon-linear partial differential equations, He’s polynomials

Mathematics Subject Classification:

General Mathematics

Authors Imprint References Funding Related Articles Downloads

Rachid Belgacem Faculty of Exact and Computer Sciences, Department of Mathematics, Hassiba Benbouali University, Chlef, Algeria.
Ahmed Bokhari Laboratory of pure and applied mathematics, Abdelhamid Ibn Badis University, Mostaganem, Algeria.
Mohamed Kadi Faculty of Exact and Computer Sciences, Department of Physics, Hassiba Benbouali University, Chlef, Algeria.
Djelloul Ziane Laboratory of mathematics and its applications (LAMAP), University of Oran1 Ahmed Ben Bella, Oran, 31000, Algeria.

Pages: 1974-1979
Date Published: 01-10-2020
Vol. 8 No. 04 (2020): Malaya Journal of Matematik (MJM)

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