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Application of Sumudu Decomposition Method to Solve Nonlinear System of Partial Differential Equations
Author(s) -
Hassan Eltayeb,
Adem Kılıçman
Publication year - 2012
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2012/412948
Subject(s) - adomian decomposition method , mathematics , nonlinear system , partial differential equation , decomposition method (queueing theory) , decomposition , differential (mechanical device) , mathematical analysis , statistics , ecology , physics , quantum mechanics , biology , engineering , aerospace engineering
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 threeexamples, and results of the present technique have close agreement with approximate solutions obtained with the help of Adomian decomposition method (ADM)

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