A fully implicit finite-difference scheme for two-dimensional Burgers' equations

被引：121
|
作者：
Bahadir, AR [1 ]
机构：
[1] Inonu Univ, Fac Arts & Sci, Dept Math, TR-44100 Malatya, Turkey
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2003年 / 137卷 / 01期
关键词：
Burgers' equation; implicit finite-differences;
D O I：
10.1016/S0096-3003(02)00091-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The two-dimensional Burgers' equations are discretized in fully implicit finite-difference form. This scheme leads to a system of nonlinear difference equations to be solved at each time-step. Newton's method is used to solve this nonlinear system. The linear system is solved by a direct method at each iteration of Newton's method. The accuracy of the proposed numerical scheme is examined by comparison with other analytical and numerical results. The present method performs well. (C) 2002 Published by Elsevier Science Inc.
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页码：131 / 137
页数：7
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