Application of He's Homotopy-perturbation Method to Nonlinear Coupled Systems of Reaction-diffusion Equations
Application of He's Homotopy-perturbation Method to Nonlinear Coupled Systems of Reaction-diffusion Equations
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DOI：
10.1515/ijnsns.2006.7.4.411
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发表时间：
2006
影响因子：
1.5
通讯作者：
D. Ganji;A. Sadighi
中科院分区：
文献类型：
--
作者：
D. Ganji;A. Sadighi
本文介绍了一种新的求解非线性耦合反应扩散方程组的分析方法--同伦-摄动法。同伦摄动法将困难的问题转化为容易解决的简单问题。并试图说明同伦摄动法在解决非线性工程问题中的能力和广泛的应用。同伦摄动法和Adomian分解法的比较表明，前者比后者更有效。为了克服Adomian多项式的计算困难，引入了他的同伦摄动法。
In this article, a new and powerful analytical method, called homotopy-perturbation method is introduced to solve nonlinear coupled systems of reaction-diffusion equations. The homotopy perturbation method deforms a difficult problem into a simple one which can be easily solved. It has been attempted to illustrate the capabilities and wide-range applications of homotopy-perturbation method for solving nonlinear engineering problems. Comparison between homotopy-perturbation method and Adomian decomposition method shows that the former is more effective than the latter. In this paper, He's homotopy-perturbation method is introduced to overcome the difficulties arising in calculating Adomian polynomials.