Application of Sumudu decomposition method to solve nonlinear system Volterra integrodifferential equations

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 nonli...

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Bibliographic Details
Main Authors: Eltayeb, Hassan, Kilicman, Adem, Mesloub, Said
Format: Article
Language:English
Published: Hindawi Publishing Corporation 2014
Online Access:http://psasir.upm.edu.my/id/eprint/36525/1/36525.pdf
http://psasir.upm.edu.my/id/eprint/36525/
https://www.hindawi.com/journals/aaa/2014/503141/abs/
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Summary: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).