Homotopy Perturbation Method for Solving Reaction-Diffusion Equations

Homotopy Perturbation Method for Solving Reaction-Diffusion Equations

The homotopy perturbation method is applied to solve reaction-diffusion equations. In this method, the trial function (initial solution) is chosen with some unknown parameters, which are identified using the method of weighted residuals. Some examples are given. The obtained results are compared wit...

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Main Authors: Yu-Xi Wang, Hua-You Si, Lu-Feng Mo
Format: Article
Language:English
Published: Hindawi Limited 2008-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2008/795838
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spelling doaj-4fd4b9f6b6b247c6859ca1a80eb8f0e02020-11-24T22:51:33ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472008-01-01200810.1155/2008/795838795838Homotopy Perturbation Method for Solving Reaction-Diffusion EquationsYu-Xi Wang0Hua-You Si1Lu-Feng Mo2School of Information Engineering, Zhejiang Forestry College, Lin'an 311300, Zhejiang, ChinaSchool of Information Engineering, Zhejiang Forestry College, Lin'an 311300, Zhejiang, ChinaSchool of Information Engineering, Zhejiang Forestry College, Lin'an 311300, Zhejiang, ChinaThe homotopy perturbation method is applied to solve reaction-diffusion equations. In this method, the trial function (initial solution) is chosen with some unknown parameters, which are identified using the method of weighted residuals. Some examples are given. The obtained results are compared with the exact solutions, revealing that this method is very efficient and the obtained solutions are of high accuracy.http://dx.doi.org/10.1155/2008/795838
collection DOAJ
language English
format Article
sources DOAJ
author Yu-Xi Wang
Hua-You Si
Lu-Feng Mo
spellingShingle Yu-Xi Wang
Hua-You Si
Lu-Feng Mo
Homotopy Perturbation Method for Solving Reaction-Diffusion Equations
Mathematical Problems in Engineering
author_facet Yu-Xi Wang
Hua-You Si
Lu-Feng Mo
author_sort Yu-Xi Wang
title Homotopy Perturbation Method for Solving Reaction-Diffusion Equations
title_short Homotopy Perturbation Method for Solving Reaction-Diffusion Equations
title_full Homotopy Perturbation Method for Solving Reaction-Diffusion Equations
title_fullStr Homotopy Perturbation Method for Solving Reaction-Diffusion Equations
title_full_unstemmed Homotopy Perturbation Method for Solving Reaction-Diffusion Equations
title_sort homotopy perturbation method for solving reaction-diffusion equations
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2008-01-01
description The homotopy perturbation method is applied to solve reaction-diffusion equations. In this method, the trial function (initial solution) is chosen with some unknown parameters, which are identified using the method of weighted residuals. Some examples are given. The obtained results are compared with the exact solutions, revealing that this method is very efficient and the obtained solutions are of high accuracy.
url http://dx.doi.org/10.1155/2008/795838
work_keys_str_mv AT yuxiwang homotopyperturbationmethodforsolvingreactiondiffusionequations
AT huayousi homotopyperturbationmethodforsolvingreactiondiffusionequations
AT lufengmo homotopyperturbationmethodforsolvingreactiondiffusionequations
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