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 - <p style="text-align: justify;">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.</p>