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

Abstract and Applied Analysis

Research Article

Said Mesloub²  Adem Kılıçman¹  Hassan Eltayeb² 

[1] Department of Mathematics, Institute for Mathematical Research, Universiti Putra Malaysia, (UPM), 43400 Serdang, Selangor, Malaysia, upm.edu.my;Mathematics Department, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia, ksu.edu.sa

Others  :  1320136
DOI  :  10.1155/2014/503141

 received in 2014-02-18, accepted in 2014-04-04,  发布年份 2014

【 摘 要 】

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).

【 授权许可】

CC BY   
Copyright © 2014 Hassan Eltayeb et al. 2014

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