Convergence of the Peaceman-Rachford approximation for reaction-diffusion systems

被引：16
|
作者：
Descombes, S
Ribot, M
机构：
[1] Ecole Normale Super Lyon, CNRS, UMR 5669, UMPA, F-69364 Lyon 07, France
[2] Univ Lyon 1, CNRS, UMR 5585, MAPLY, F-69622 Villeurbanne, France
来源：
NUMERISCHE MATHEMATIK | 2003年 / 95卷 / 03期
关键词：
D O I：
10.1007/s00211-002-0434-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Consider a reaction-diffusion system of the form u(t)-MDeltau+F(u)=0, where M is a mxm matrix whose spectrum is included in {Rz>0}. We approximate it by the Peaceman-Rachford approximation defined by P(t)=(1+tF/2)(-1)(1+tMDelta/2)(1-tMDelta/2)(-1)(1-tF/2). We prove convergence of this scheme and show that it is of order two.
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页码：503 / 525
页数：23
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