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Homotopy Perturbation Method for Solving Reaction-Diffusion Equations

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  • Yu-Xi Wang
  • Hua-You Si
  • Lu-Feng Mo

Abstract

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.

Suggested Citation

  • Yu-Xi Wang & Hua-You Si & Lu-Feng Mo, 2008. "Homotopy Perturbation Method for Solving Reaction-Diffusion Equations," Mathematical Problems in Engineering, Hindawi, vol. 2008, pages 1-5, April.
    • Handle: RePEc:hin:jnlmpe:795838
    DOI: 10.1155/2008/795838
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    Cited by:

    1. Aasma Khalid & Muhammad Nawaz Naeem & Zafar Ullah & Abdul Ghaffar & Dumitru Baleanu & Kottakkaran Sooppy Nisar & Maysaa M. Al-Qurashi, 2019. "Numerical Solution of the Boundary Value Problems Arising in Magnetic Fields and Cylindrical Shells," Mathematics, MDPI, vol. 7(6), pages 1-20, June.

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