@Article{JCM-20-543, author = {Feng , Hui 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 = {

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.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8939.html} }