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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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/503141 |
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| author | Hassan Eltayeb Adem Kılıçman Said Mesloub |
| author_facet | Hassan Eltayeb Adem Kılıçman Said Mesloub |
| author_sort | Hassan Eltayeb |
| collection | DOAJ |
| 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). |
| format | Article |
| id | doaj-art-2936d9222de74bbb925be38106ffc4c6 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-2936d9222de74bbb925be38106ffc4c62025-02-03T06:11:34ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/503141503141Application of Sumudu Decomposition Method to Solve Nonlinear System Volterra Integrodifferential EquationsHassan Eltayeb0Adem Kılıçman1Said Mesloub2Mathematics Department, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaDepartment of Mathematics, Institute for Mathematical Research, Universiti Putra Malaysia, (UPM), 43400 Serdang, Selangor, MalaysiaMathematics Department, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaWe 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).http://dx.doi.org/10.1155/2014/503141 |
| spellingShingle | Hassan Eltayeb Adem Kılıçman Said Mesloub Application of Sumudu Decomposition Method to Solve Nonlinear System Volterra Integrodifferential Equations Abstract and Applied Analysis |
| 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://dx.doi.org/10.1155/2014/503141 |
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