A Study of Some Nonlinear Partial Differential Equations by Using Adomian Decomposition Method and Variational Iteration Method

Maha S. M. Shehata

Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt.

DOI: 10.4236/ajcm.2015.52016                

Abstract

In this paper, a numerical solution of nonlinear partial differential equation, Benjamin-Bona-Mahony (BBM) and Cahn-Hilliard equation is presented by using Adomain Decomposition Method (ADM) and Variational Iteration Method (VIM). The results reveal that the two methods are very effective, simple and very close to the exact solution.

Keywords

Wave Variables, Adomian Decomposition Method (ADM), Variational Iteration Method (VIM), Nonlinear Partial Differential Equation PDEs, BBM and Cahn-Hilliard Equations

Conflicts of Interest

The authors declare no conflicts of interest.

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