Exact and numerical solutions for non-linear Burger's equation by VIM

被引:64
作者
Biazar, J. [1 ]
Aminikhah, H. [2 ]
机构
[1] Univ Guilan, Dept Math, Fac Sci, Rasht 41938, Iran
[2] Shahrood Univ Technol, Dept Math, Sch Math Sci, Shahrood 3619995161, Iran
关键词
Burger's equation; Variational iteration method; Lagrange multiplier; Correction functional; VARIATIONAL ITERATION METHOD; DECOMPOSITION METHOD; SOLVING BURGERS;
D O I
10.1016/j.mcm.2008.12.006
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
In this article variational iteration method(VIM), established by Hein (1999), is considered to solve nonlinear Bergur's equation. This method is a powerful tool for solving a large number of problems. Using variational iteration method,it is possible to find the exact solution or a closed approximate solution of a problem. Comparing the results with those of Adomian's decomposition and finite difference methods reveals significant points. To illustrate the ability and reliability of the method, some examples are provided. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1394 / 1400
页数:7
相关论文
共 21 条
[1]   Variational iteration method for solving Burger's and coupled Burger's equations [J].
Abdou, MA ;
Soliman, AA .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2005, 181 (02) :245-251
[2]  
[Anonymous], 1972, The method of weighted residuals and variational principles
[3]   A fully implicit finite-difference scheme for two-dimensional Burgers' equations [J].
Bahadir, AR .
APPLIED MATHEMATICS AND COMPUTATION, 2003, 137 (01) :131-137
[4]   An analytical approximation to the solution of a wave equation by a variational iteration method [J].
Biazar, J. ;
Ghazvini, H. .
APPLIED MATHEMATICS LETTERS, 2008, 21 (08) :780-785
[5]   He's variational iteration method for solving linear and non-linear systems of ordinary differential equations [J].
Biazar, J. ;
Ghazvini, H. .
APPLIED MATHEMATICS AND COMPUTATION, 2007, 191 (01) :287-297
[6]   He's variational iteration method for fourth-order parabolic equations [J].
Biazar, J. ;
Ghazvini, H. .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2007, 54 (7-8) :1047-1054
[7]  
Biazar J, 2007, INT J NONLINEAR SCI, V8, P311
[8]  
Burger J. M., 1948, A Mathematical Model Illustrating the Theory of Turbulence
[9]   ON A QUASI-LINEAR PARABOLIC EQUATION OCCURRING IN AERODYNAMICS [J].
COLE, JD .
QUARTERLY OF APPLIED MATHEMATICS, 1951, 9 (03) :225-236
[10]   A comparison between Cole-Hopf transformation and the decomposition method for solving Burgers' equations [J].
Gorguis, A .
APPLIED MATHEMATICS AND COMPUTATION, 2006, 173 (01) :126-136