Numerical Study of Homotopy-Perturbation Method Applied to Burgers Equation in Fluid

被引：16

作者：

Ganji, D. D. ^{[1
]}

Ganji, S. S. ^{[2
]}

Karimpour, S. ^{[3
]}

Ganji, Z. Z. ^{[1
]}

机构：

[1] Mazandaran Univ, Dept Mech Engn, Babol Sar, Iran

[2] Islamic Azad Univ, Dept Civil & Transportat Engn, Sci & Res Branch, Tehran, Iran

[3] Semnan Univ, Dept Civil Engn, Semnan, Iran

来源：

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2010年 / 26卷 / 04期

关键词：

Burgers equation; Homotopy perturbation method (HPM); nonlinear equations; VARIATIONAL ITERATION METHOD; EXPLICIT ANALYTICAL SOLUTIONS; WAVE EQUATION;

D O I：

10.1002/num.20464

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, the problem of Burgers equation is presented and the homotopy perturbation method (HPM) is employed to compute an approximation to the solution of the system of nonlinear differential equations governing on the problem. Comparison is made between the HPM and Exact solutions. The obtained solutions, in comparison with the exact solutions, admit a remarkable accuracy. A clear conclusion can be drawn from the numerical results that the HPM provides highly accurate numerical solutions for nonlinear differential equations. (C) 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 26: 917-930, 2010

引用

页码：917 / 930

页数：14

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