Abstract and Applied Analysis
Volume 2012 (2012), Article ID 412948, 13 pages
http://dx.doi.org/10.1155/2012/412948
Research Article

Application of Sumudu Decomposition Method to Solve Nonlinear System of Partial Differential Equations

Hassan Eltayeb1 and Adem Kılıçman2

1Mathematics Department, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia
2Department of Mathematics and Institute for Mathematical Research, Universiti Putra Malaysia, Serdang, 43400 Selangor, Malaysia

Received 26 August 2012; Accepted 22 October 2012

Academic Editor: M. Mursaleen

Copyright © 2012 Hassan Eltayeb and Adem Kılıçman. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We develop a method to obtain approximate solutions of nonlinear system of partial differential equations with the help of Sumudu decomposition method (SDM). The technique is based on the application of Sumudu transform to nonlinear coupled partial differential equations. The nonlinear term can easily be handled with the help of Adomian polynomials. We illustrate this technique with the help of three examples, and results of the present technique have close agreement with approximate solutions obtained with the help of Adomian decomposition method (ADM).