Long Time Asymptotic Behavior of Solution of Difference Scheme for a Semilinear Parabolic Equation (II)
Year: 1998
Author: Hui Feng, Longjun Shen
Journal of Computational Mathematics, Vol. 16 (1998), Iss. 6 : pp. 571–576
Abstract
In this paper we prove the solution of explicit difference scheme for a semilinear parabolic equation converges to the solution of difference scheme for the relevant nonlinear stationary problem as $t \rightarrow \infty$. For nonlinear parabolic problem, we obtain the long time asymptotic behavior of its discrete solution which is analogous to that of its continuous solution. For simplicity, we discuss one-dimensional problem.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/1998-JCM-9184
Journal of Computational Mathematics, Vol. 16 (1998), Iss. 6 : pp. 571–576
Published online: 1998-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 6
Keywords: Asymptotic behavior Explicit difference scheme Semilinear parabolic equation.