Volume 16, Issue 6
Long Time Asymptotic Behavior of Solution of Difference Scheme for a Semilinear Parabolic Equation (II)
DOI:

J. Comp. Math., 16 (1998), pp. 571-576

Published online: 1998-12

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• 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.

• Keywords

Asymptotic behavior Explicit difference scheme Semilinear parabolic equation

@Article{JCM-16-571, author = {}, 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/}, url = {http://global-sci.org/intro/article_detail/jcm/9184.html} }
TY - JOUR T1 - Long Time Asymptotic Behavior of Solution of Difference Scheme for a Semilinear Parabolic Equation (II) JO - Journal of Computational Mathematics VL - 6 SP - 571 EP - 576 PY - 1998 DA - 1998/12 SN - 16 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9184.html KW - Asymptotic behavior KW - Explicit difference scheme KW - Semilinear parabolic equation AB - 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.