@Article{JCM-21-671, author = {Sun , Zhi-Zhong 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 = {

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.  

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/10245.html} }