Variational homotopy perturbation method for the approximate solution of the foam drainage equation with time and space fractional derivatives

A. Bouhassoun; M. Hamdi Cherif; M. Zellal

doi:10.26637/mjm104/019

Abstract

In this paper, variational homotopy perturbation method (VHPM) is applied for solving the foam drainage equation with time and space-fractional derivatives. Numerical solutions are obtained for various values of the time and space-order derivative in (0,1]. For the first-order time and space derivative, compared with the exact solution, the result showed that the proposed method could be used as an alternative method for obtaining an analytic and approximate solution for different types of differential equations.

Keywords:

Caputo fractional derivative, variational homotopy perturbation method, foam drainage equation, fractional differential equations

Mathematics Subject Classification:

34A08, 65L05, 34B15, 74H15

Authors Imprint References Funding Related Articles Downloads

A. Bouhassoun Laboratory (LAMAP), Faculty of exact and applied sciences, University of Oran, P.O. Box, 1524, Oran, Algeria.
M. Hamdi Cherif Laboratory (LAMAP), Faculty of exact and applied sciences, University of Oran, P.O. Box, 1524, Oran, Algeria.
M. Zellal Laboratory (LAMAP), Faculty of exact and applied sciences, University of Oran, P.O. Box, 1524, Oran, Algeria.

Pages: 163-170
Date Published: 01-10-2013
Vol. 1 No. 04 (2013): Malaya Journal of Matematik (MJM)

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