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


Citation

Eltayeb, Hassan and Kilicman, Adem and Mesloub, Said (2014) Application of Sumudu decomposition method to solve nonlinear system Volterra integrodifferential equations. Abstract and Applied Analysis, 2014. art. no. 503141. pp. 1-6. ISSN 1085-3375; ESSN: 1687-0409

Abstract

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).


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Additional Metadata

Item Type: Article
Divisions: Faculty of Science
Institute for Mathematical Research
DOI Number: https://doi.org/10.1155/2014/503141
Publisher: Hindawi Publishing Corporation
Keywords: Volterra integrodifferential equations; Sumudu decomposition method; Nonlinear systems; Adomian decomposition method
Depositing User: Nabilah Mustapa
Date Deposited: 18 Aug 2015 12:53
Last Modified: 19 Oct 2017 07:39
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1155/2014/503141
URI: http://psasir.upm.edu.my/id/eprint/36525
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