Application of Sumudu Decomposition Method to Solve Nonlinear System of Partial Differential Equations
We develop a method to obtain approximate solutions of nonlinear system of partial differential equations with the help of Sumudu decomposition method (SDM). The technique is based on the application of Sumudu transform to nonlinear coupled partial differential equations. The nonlinear term can easi...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/412948 |
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| author | Hassan Eltayeb Adem Kılıçman |
| author_facet | Hassan Eltayeb Adem Kılıçman |
| author_sort | Hassan Eltayeb |
| collection | DOAJ |
| description | We develop a method to obtain approximate solutions of nonlinear system of partial differential equations with the help of Sumudu decomposition method (SDM). The technique is based on the application of Sumudu transform to nonlinear coupled partial differential 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 obtained with the help of Adomian decomposition method (ADM). |
| format | Article |
| id | doaj-art-b7d26d34808144018c7ed4d084b65019 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-b7d26d34808144018c7ed4d084b650192025-02-03T01:26:48ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/412948412948Application of Sumudu Decomposition Method to Solve Nonlinear System of Partial Differential EquationsHassan Eltayeb0Adem Kılıçman1Mathematics Department, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaDepartment of Mathematics and Institute for Mathematical Research, Universiti Putra Malaysia, Serdang, 43400 Selangor, MalaysiaWe develop a method to obtain approximate solutions of nonlinear system of partial differential equations with the help of Sumudu decomposition method (SDM). The technique is based on the application of Sumudu transform to nonlinear coupled partial differential 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 obtained with the help of Adomian decomposition method (ADM).http://dx.doi.org/10.1155/2012/412948 |
| spellingShingle | Hassan Eltayeb Adem Kılıçman Application of Sumudu Decomposition Method to Solve Nonlinear System of Partial Differential Equations Abstract and Applied Analysis |
| title | Application of Sumudu Decomposition Method to Solve Nonlinear System of Partial Differential Equations |
| title_full | Application of Sumudu Decomposition Method to Solve Nonlinear System of Partial Differential Equations |
| title_fullStr | Application of Sumudu Decomposition Method to Solve Nonlinear System of Partial Differential Equations |
| title_full_unstemmed | Application of Sumudu Decomposition Method to Solve Nonlinear System of Partial Differential Equations |
| title_short | Application of Sumudu Decomposition Method to Solve Nonlinear System of Partial Differential Equations |
| title_sort | application of sumudu decomposition method to solve nonlinear system of partial differential equations |
| url | http://dx.doi.org/10.1155/2012/412948 |
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