Application of Sumudu Decomposition Method to Solve Nonlinear System of Partial Differential Equations

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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Main Authors: Hassan Eltayeb, Adem Kılıçman
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/412948
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spelling doaj-b7d26d34808144018c7ed4d084b650192020-11-24T23:48:12ZengHindawi LimitedAbstract 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
collection DOAJ
language English
format Article
sources DOAJ
author Hassan Eltayeb
Adem Kılıçman
spellingShingle Hassan Eltayeb
Adem Kılıçman
Application of Sumudu Decomposition Method to Solve Nonlinear System of Partial Differential Equations
Abstract and Applied Analysis
author_facet Hassan Eltayeb
Adem Kılıçman
author_sort Hassan Eltayeb
title 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_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_sort application of sumudu decomposition method to solve nonlinear system of partial differential equations
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2012-01-01
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).
url http://dx.doi.org/10.1155/2012/412948
work_keys_str_mv AT hassaneltayeb applicationofsumududecompositionmethodtosolvenonlinearsystemofpartialdifferentialequations
AT ademkılıcman applicationofsumududecompositionmethodtosolvenonlinearsystemofpartialdifferentialequations
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