Long Time Asymptotic Behavior of Solutions of Explicit Difference Scheme for Semilinear Parabolic Equations
Year: 2002
Author: Hui Feng, Long-Jun Shen
Journal of Computational Mathematics, Vol. 20 (2002), Iss. 5 : pp. 543–550
Abstract
In this paper we prove that the solution of explicit difference scheme for a class of semilinear parabolic equations converges to the solution of difference schemes for the corresponding nonlinear elliptic equations in $H^1$ norm as $t\rightarrow\infty$. We get the long time asymptotic behavior of the discrete solutions which is interested in comparing to the case of continuous solutions.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2002-JCM-8939
Journal of Computational Mathematics, Vol. 20 (2002), Iss. 5 : pp. 543–550
Published online: 2002-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 8
Keywords: Asymptotic behavior Explicit difference scheme Semilinear prarbolic equations.