Iterative methods for a forward-backward heat equation in two-dimension

被引：0
作者：
Jie Sun
Xiao-liang Cheng
机构：
[1] Zhejiang University of Finance and Economics,School of Mathematics and Statistics
[2] Zhejiang University,Department of Mathematics
来源：
Applied Mathematics-A Journal of Chinese Universities | 2010年 / 25卷
关键词：
Forward-backward heat equation; coarse mesh; iterative method; 65N20; 65N10; 35K05; 65N55;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A finite difference method is introduced to solve the forward-backward heat equation in two space dimensions. In this procedure, the backward and forward difference scheme in two subdomains and a coarse-mesh second-order central difference scheme at the middle interface are used. Maximum norm error estimate for the procedure is derived. Then an iterative method based on domain decomposition is presented for the numerical scheme and the convergence of the given method is established. Then numerical experiments are presented to support the theoretical analysis.
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页码：101 / 111
页数：10
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