Year: 1998
Author: Hui Feng, Longjun Shen
Journal of Computational Mathematics, Vol. 16 (1998), Iss. 5 : pp. 395–402
Abstract
In this paper we prove that the solution of implicit difference scheme for a semilinear parabolic equation converges to the solution of difference scheme for the corresponding nonlinear stationary problem as t→∞. For the discrete solution of nonlinear parabolic problem, we get its long time asymptotic behavior which is similar to that of the continuous solution. For simplicity, we consider one-dimensional problem.
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/1998-JCM-9170
Journal of Computational Mathematics, Vol. 16 (1998), Iss. 5 : pp. 395–402
Published online: 1998-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 8
Keywords: Asymptotic behavior implicit difference scheme semilinear parabolic equation.