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Abstract and Applied Analysis
Volume 2014, Article ID 503141, 6 pages
Research Article

Application of Sumudu Decomposition Method to Solve Nonlinear System Volterra Integrodifferential Equations

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

Received 18 February 2014; Accepted 4 April 2014; Published 28 April 2014

Academic Editor: Mohamed Boussairi Jleli

Copyright © 2014 Hassan Eltayeb et al. 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.


We develop a method to obtain approximate solutions for nonlinear systems of Volterra integrodifferential equations with the help of Sumudu decomposition method (SDM). The technique is based on the application of Sumudu transform to nonlinear coupled Volterra integrodifferential 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 which were obtained with the help of Adomian decomposition method (ADM).