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Convergence and Error Analysis of Series Solution of Nonlinear Partial Differential Equation

Convergence and Error Analysis of Series Solution of Nonlinear Partial Differential Equation AbstractA hybrid method of Sumudu transforms and homotopy perturbation method (HPM) is used to solve nonlinear partial differential equation. Here the nonlinear terms are handled with He’s polynomial to obtain the series solution. But, for the authenticity of the obtained solution, the condition of convergence and uniqueness of the solution is derived. The facts are obtained in reference to convergence and error analysis of this solution. Finally, the established fact is supported by finding solution of two well known equations Newell-Whitehead Segel and Fisher’s equation http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Nonlinear Engineering de Gruyter

Convergence and Error Analysis of Series Solution of Nonlinear Partial Differential Equation

Nonlinear Engineering , Volume 7 (4): 6 – Dec 19, 2018

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References (24)

Publisher
de Gruyter
Copyright
© 2018 Walter de Gruyter GmbH, Berlin/Boston
ISSN
2192-8029
eISSN
2192-8029
DOI
10.1515/nleng-2017-0113
Publisher site
See Article on Publisher Site

Abstract

AbstractA hybrid method of Sumudu transforms and homotopy perturbation method (HPM) is used to solve nonlinear partial differential equation. Here the nonlinear terms are handled with He’s polynomial to obtain the series solution. But, for the authenticity of the obtained solution, the condition of convergence and uniqueness of the solution is derived. The facts are obtained in reference to convergence and error analysis of this solution. Finally, the established fact is supported by finding solution of two well known equations Newell-Whitehead Segel and Fisher’s equation

Journal

Nonlinear Engineeringde Gruyter

Published: Dec 19, 2018

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