Solution of coupled system of nonlinear differential equations using homotopy analysis method

被引：15

作者：

Ganjiani, Mehdi ^{[1
]}

Ganjiani, Hossein ^{[2
]}

机构：

[1] Sharif Univ Technol, Dept Mech Engn, Tehran, Iran

[2] Shaheed Beheshti Univ, Dept Nucl Engn, Tehran 1983963113, Iran

来源：

NONLINEAR DYNAMICS | 2009年 / 56卷 / 1-2期

关键词：

Homotopy analysis method; Numerical solution; Coupled system of nonlinear equations; APPROXIMATE SOLUTION TECHNIQUE; VARIATIONAL ITERATION METHOD; TRAVELING-WAVE SOLUTIONS; DE VRIES EQUATION; KDV EQUATION; NONCOMPACT STRUCTURES; EVOLUTION-EQUATIONS; SMALL PARAMETERS; VARIANTS; COMPACT;

D O I：

10.1007/s11071-008-9386-7

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

In this article, the homotopy analysis method has been applied to solve a coupled nonlinear diffusion-reaction equations. The validity of this method has been successful by applying it for these nonlinear equations. The results obtained by this method have a good agreement with one obtained by other methods. This work illustrates the validity of the homotopy analysis method for the nonlinear differential equations. The basic ideas of this approach can be widely employed to solve other strongly nonlinear problems.

引用

页码：159 / 167

页数：9

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