@Article{JCM-16-6, author = {Hui, Feng and Shen, Longjun}, title = {Long Time Asymptotic Behavior of Solution of Difference Scheme for a Semilinear Parabolic Equation (II)}, journal = {Journal of Computational Mathematics}, year = {1998}, volume = {16}, number = {6}, pages = {571--576}, abstract = {
In this paper we prove the solution of explicit difference scheme for a semilinear parabolic equation converges to the solution of difference scheme for the relevant nonlinear stationary problem as $t \rightarrow \infty$. For nonlinear parabolic problem, we obtain the long time asymptotic behavior of its discrete solution which is analogous to that of its continuous solution. For simplicity, we discuss one-dimensional problem.
}, issn = {1991-7139}, doi = {https://doi.org/1998-JCM-9184}, url = {https://global-sci.com/article/85721/long-time-asymptotic-behavior-of-solution-of-difference-scheme-for-a-semilinear-parabolic-equation-ii} }