Mathematical Problems in Engineering
Volume 2008 (2008), Article ID 795838, 5 pages
Homotopy Perturbation Method for Solving Reaction-Diffusion Equations
School of Information Engineering, Zhejiang Forestry College, Lin'an 311300, Zhejiang, China
Received 16 November 2007; Revised 11 February 2008; Accepted 27 February 2008
Academic Editor: Paulo Gonçalves
Copyright © 2008 Yu-Xi Wang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
AbstractThe 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.