Long Time Asymptotic Behavior of Solution of Implicit Difference Scheme for a Semi-Linear Parabolic Equation
Year: 2003
Author: Zhi-Zhong Sun, Long-Jun Shen
Journal of Computational Mathematics, Vol. 21 (2003), Iss. 5 : pp. 671–680
Abstract
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.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2003-JCM-10245
Journal of Computational Mathematics, Vol. 21 (2003), Iss. 5 : pp. 671–680
Published online: 2003-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: Asymptotic behavior Implicit difference scheme Semi-linear parabolic equation Convergence.