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**Homotopy perturbation method for solving reaction-diffusion equations.**
*(English)*
Zbl 1173.35551

Summary: 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.

### MSC:

35K57 | Reaction-diffusion equations |

35A25 | Other special methods applied to PDEs |

35K15 | Initial value problems for second-order parabolic equations |

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\textit{Y.-X. Wang} et al., Math. Probl. Eng. 2008, Article ID 795838, 5 p. (2008; Zbl 1173.35551)

### References:

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