LONG TIME ASYMPTOTIC BEHAVIOR OF SOLUTION OF IMPLICIT DIFFERENCE SCHEME FOR A SEMI-LINEAR PARABOLIC EQUATION

被引：0
|
作者：
Zhi-zhong Sun(Department of Mathematics
机构：
来源：
Journal of Computational Mathematics | 2003年 / 05期
关键词：
Asymptotic behavior; Implicit difference scheme; Semi-linear parabolic equa- tion; Convergence;
D O I：
暂无
中图分类号：
O241.5 [数值逼近];
学科分类号：
摘要：
In this paper, the solution of back-Euler implicit difference scheme for a semi-linear parabolic equation is proved to converge to the solution of difference scheme for the corresponding semi-linear elliptic equation as t tends to infinity. The long asymptotic behavior of its discrete solution is obtained which is analogous to that of its continuous solution. At last, a few results are also presented for Crank-Nicolson scheme.
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页码：671 / 680
页数：10
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