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Volume 20, Issue 5
Long Time Asymptotic Behavior of Solutions of Explicit Difference Scheme for Semilinear Parabolic Equations

Hui Feng & Long-Jun Shen

J. Comp. Math., 20 (2002), pp. 543-550.

Published online: 2002-10

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  • Abstract

In this paper we prove that the solution of explicit difference scheme for a class of semilinear parabolic equations converges to the solution of difference schemes for the corresponding nonlinear elliptic equations in $H^1$ norm as $t\rightarrow\infty$. We get the long time asymptotic behavior of the discrete solutions which is interested in comparing to the case of continuous solutions.

  • Keywords

Asymptotic behavior, Explicit difference scheme, Semilinear prarbolic equations.

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COPYRIGHT: © Global Science Press

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@Article{JCM-20-543, author = {Feng , Hui and Shen , Long-Jun}, title = {Long Time Asymptotic Behavior of Solutions of Explicit Difference Scheme for Semilinear Parabolic Equations}, journal = {Journal of Computational Mathematics}, year = {2002}, volume = {20}, number = {5}, pages = {543--550}, abstract = {

In this paper we prove that the solution of explicit difference scheme for a class of semilinear parabolic equations converges to the solution of difference schemes for the corresponding nonlinear elliptic equations in $H^1$ norm as $t\rightarrow\infty$. We get the long time asymptotic behavior of the discrete solutions which is interested in comparing to the case of continuous solutions.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8939.html} }
TY - JOUR T1 - Long Time Asymptotic Behavior of Solutions of Explicit Difference Scheme for Semilinear Parabolic Equations AU - Feng , Hui AU - Shen , Long-Jun JO - Journal of Computational Mathematics VL - 5 SP - 543 EP - 550 PY - 2002 DA - 2002/10 SN - 20 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8939.html KW - Asymptotic behavior, Explicit difference scheme, Semilinear prarbolic equations. AB -

In this paper we prove that the solution of explicit difference scheme for a class of semilinear parabolic equations converges to the solution of difference schemes for the corresponding nonlinear elliptic equations in $H^1$ norm as $t\rightarrow\infty$. We get the long time asymptotic behavior of the discrete solutions which is interested in comparing to the case of continuous solutions.

Feng , Hui and Shen , Long-Jun. (2002). Long Time Asymptotic Behavior of Solutions of Explicit Difference Scheme for Semilinear Parabolic Equations. Journal of Computational Mathematics. 20 (5). 543-550. doi:
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