Homotopy Perturbation Method for Solving Reaction-Diffusion Equations | Zendy

Yuxi Wang | Zendy; Hua-You Si | Zendy; Lufeng Mo | Zendy

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Homotopy Perturbation Method for Solving Reaction-Diffusion Equations

Author(s) -

Yuxi Wang,

Hua-You Si,

Lufeng Mo

Publication year - 2008

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2008/795838

Subject(s) - homotopy perturbation method , homotopy analysis method , reaction–diffusion system , perturbation (astronomy) , mathematics , mathematical analysis , homotopy , physics , pure mathematics , quantum mechanics

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

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