Title: Numerical simulation for fractional phi-4 equation using homotopy Sumudu approach

Authors: A.K. Alomari; Ghufran A. Drabseh; Mohammad F. Al-Jamal; Ramzi B. AlBadarneh

Addresses: Department of Mathematics, Yarmouk University, Irbid 211-63, Jordan ' Department of Mathematics, Yarmouk University, Irbid 211-63, Jordan ' Department of Mathematics, Yarmouk University, Irbid 211-63, Jordan ' Department of Mathematics, The Hashemite University, Zarqa 131-33, Jordan

Abstract: In this study, we utilise the homotopy analysis method and the Sumudu transform to find the solution of fractional order partial differential equations. We focus primarily on the employment of the method for solving the fractional phi-4 equation in one-dimensional spatial domain. The method can be extended easily for more general nonlinear equations. Convergence and error analysis are given. Numerical experiments show that the method is both effective and accurate, and suits such type of applications.

Keywords: Sumudu transform; homotopy analysis method; HAM; phi-4 equation; convergence; unique solution.

DOI: 10.1504/IJSPM.2021.113072

International Journal of Simulation and Process Modelling, 2021 Vol.16 No.1, pp.26 - 33

Received: 21 Oct 2019
Accepted: 24 Apr 2020
Published online: 17 Feb 2021 *

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