Approximate solutions for the Burger and regularized long wave equations by means of the homotopy analysis method

被引：124

作者：

Rashidi, M. M. ^{[2
]}

Domairry, G. ^{[1
]}

Dinarvand, S. ^{[2
]}

机构：

[1] Mazandaran Univ, Babol Sar, Iran

[2] Bu Ali Sina Univ, Fac Engn, Dept Mech Engn, Hamadan, Iran

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2009年 / 14卷 / 03期

关键词：

Homotopy analysis methods; Burger equations; Regularized long wave equation; Nonlinear partial differential equations; PERTURBATION METHOD; ANALYTIC SOLUTION; SMALL PARAMETERS; RLW EQUATION; EXPLICIT; FLUID; FLOW; KDV;

D O I：

10.1016/j.cnsns.2007.09.015

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, the homotopy analysis method (HAM), one of the most effective method, is implemented for finding approximate solutions of the Burger and regularized long wave (RLW) equations. Comparisons are made between the results of the proposed method and homotopy perturbation method (HPM). It illustrates the validity and the great potential of the homotopy analysis method in solving nonlinear partial differential equations. (C) 2007 Elsevier B.V. All rights reserved.

引用

页码：708 / 717

页数：10

共 32 条

[1] The application of homotopy analysis method to solve a generalized Hirota-Satsuma coupled KdV equation [J].