@Article{JCM-21-5,
author = {Zhi-Zhong, Sun and Shen, Long-Jun},
title = {Long Time Asymptotic Behavior of Solution of Implicit Difference Scheme for a Semi-Linear Parabolic Equation},
journal = {Journal of Computational Mathematics},
year = {2003},
volume = {21},
number = {5},
pages = {671--680},
abstract = {<p style="text-align: justify;">In this paper, the solution of back-Euler implicit difference scheme for a semi-linear parabolic equation is proved to converge to the solution of difference scheme for the corresponding semi-linear elliptic equation as $t$ tends to infinity. The long asymptotic behavior of its discrete solution is obtained which is analogous to that of its continuous solution. At last, a few results are also presented for Crank-Nicolson scheme. &nbsp;</p>},
issn = {1991-7139},
doi = {https://doi.org/2003-JCM-10245},
url = {https://global-sci.com/article/85361/long-time-asymptotic-behavior-of-solution-of-implicit-difference-scheme-for-a-semi-linear-parabolic-equation}
}