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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| Format: | Article |
| Language: | English |
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Hindawi Publishing Corporation
2014
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| Online Access: | http://psasir.upm.edu.my/id/eprint/36525/ http://psasir.upm.edu.my/id/eprint/36525/1/36525.pdf |
| _version_ | 1848848357155405824 |
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| author | Eltayeb, Hassan Kilicman, Adem Mesloub, Said |
| author_facet | Eltayeb, Hassan Kilicman, Adem Mesloub, Said |
| author_sort | Eltayeb, Hassan |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | 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). |
| first_indexed | 2025-11-15T09:33:13Z |
| format | Article |
| id | upm-36525 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T09:33:13Z |
| publishDate | 2014 |
| publisher | Hindawi Publishing Corporation |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-365252017-10-19T07:39:44Z http://psasir.upm.edu.my/id/eprint/36525/ Application of Sumudu decomposition method to solve nonlinear system Volterra integrodifferential equations Eltayeb, Hassan Kilicman, Adem Mesloub, Said 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). Hindawi Publishing Corporation 2014 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/36525/1/36525.pdf 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 https://www.hindawi.com/journals/aaa/2014/503141/abs/ 10.1155/2014/503141 |
| spellingShingle | Eltayeb, Hassan Kilicman, Adem Mesloub, Said Application of Sumudu decomposition method to solve nonlinear system Volterra integrodifferential equations |
| title | Application of Sumudu decomposition method to solve nonlinear system Volterra integrodifferential equations |
| title_full | Application of Sumudu decomposition method to solve nonlinear system Volterra integrodifferential equations |
| title_fullStr | Application of Sumudu decomposition method to solve nonlinear system Volterra integrodifferential equations |
| title_full_unstemmed | Application of Sumudu decomposition method to solve nonlinear system Volterra integrodifferential equations |
| title_short | Application of Sumudu decomposition method to solve nonlinear system Volterra integrodifferential equations |
| title_sort | application of sumudu decomposition method to solve nonlinear system volterra integrodifferential equations |
| url | http://psasir.upm.edu.my/id/eprint/36525/ http://psasir.upm.edu.my/id/eprint/36525/ http://psasir.upm.edu.my/id/eprint/36525/ http://psasir.upm.edu.my/id/eprint/36525/1/36525.pdf |