@Article{JCM-20-5,
author = {Hui, Feng and Shen, Long-Jun},
title = {Long Time Asymptotic Behavior of Solutions of Explicit Difference Scheme for Semilinear Parabolic Equations},
journal = {Journal of Computational Mathematics},
year = {2002},
volume = {20},
number = {5},
pages = {543--550},
abstract = {<p style="text-align: justify;">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.</p>},
issn = {1991-7139},
doi = {https://doi.org/2002-JCM-8939},
url = {https://global-sci.com/article/85429/long-time-asymptotic-behavior-of-solutions-of-explicit-difference-scheme-for-semilinear-parabolic-equations}
}