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

• 来源期刊: 计算数学（英文版）
• 关键词: Asymptotic behavior Implicit difference scheme Semi-linear parabolic equation Convergence.
• 年，卷（期）: 2003,（5）
• 页码范围: 671-680
• 页数: 10页
• 语种: 英文

摘要

In this paper, the solution of back-Euler implicit difference scheme for a semi-linearparabolic equation is proved to converge to the solution of difference scheme for the corre-sponding semi-linear elliptic equation as t tends to infinity. The long asymptotic behaviorof its discrete solution is obtained which is analogous to that of its continuous solution. Atlast, a few results are also presented for Crank-Nicolson scheme.