A numerical solution of Burgers' equation by modified Adomian method

被引：62

作者：

Abbasbandy, S ^{[1
]}

Darvishi, MT

机构：

[1] Imam Khomeini Int Univ, Dept Math, Fac Sci, Gazvin 34194, Iran

[2] Razi Univ, Fac Sci, Dept Math, Kermanshah 67149, Iran

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2005年 / 163卷 / 03期

关键词：

Burgers' equation; Adomian's decomposition method;

D O I：

10.1016/j.amc.2004.04.061

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the modified Adomian's decomposition method for calculating a numerical solution of the one-dimensional quasi-linear, the Burgers' equation, is presented. Time discretization has been used in decomposition, without using any transformation in the Burgers' equation such as Hopf-Cole transformation. The numerical results obtained by this way for various values of viscosity have been compared with the exact solution to show the efficiency of the method. (c) 2004 Published by Elsevier Inc.

引用

页码：1265 / 1272

页数：8

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