Exact Solutions for Nonlinear Burgers' Equation by Homotopy Perturbation Method

被引：26
作者：
Biazar, J. [1 ]
Ghazvini, H. [1 ,2 ]
机构：
[1] Univ Guilan, Fac Sci, Dept Math, Rasht 41938, Iran
[2] Shahrood Univ Technol, Sch Math Sci, Dept Math, Shahrood 3619995161, Iran
来源：
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2009年 / 25卷 / 04期
关键词：
Burgers' equation; homotopy perturbation method; Adomian's decomposition method; nonlinear functional equations; recurrent relation; DECOMPOSITION METHOD; FLOW;
D O I：
10.1002/num.20376
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The aim of this article is to construct a new efficient recurrent relation to solve nonlinear Burgers' equation. The homotopy perturbation method is used to solve this equation. Because Burgers' equation arises in many applications, it is worth trying new Solution methods. Comparison of the results with those of Adomian's decomposition method leads to significant consequences. Four standard problems are used to illustrate the method. (C) 2008 Wiley Periodicals, Inc. Numer Methods Partial Differentiat Eq 25: 833-842, 2009
引用
收藏
页码：833 / 842
页数：10
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