@Article{JCM-16-5,
author = {Hui, Feng 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/1998-JCM-9170},
url = {https://global-sci.com/article/85704/long-time-asymptotic-behavior-of-solution-of-difference-scheme-for-a-semilinear-parabolic-equation}
}