@Article{JCM-16-395,
author = {Feng , Hui and Shen , Longjun},
title = {Long Time Asymptotic Behavior of Solution of Difference Scheme for a Semilinear Parabolic Equation},
journal = {Journal of Computational Mathematics},
year = {1998},
volume = {16},
number = {5},
pages = {395--402},
abstract = {<p style="text-align: justify;">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 $t\rightarrow\infty$. 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.</p>},
issn = {1991-7139},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jcm/9170.html}
}