TY - JOUR
T1 - Long Time Asymptotic Behavior of Solution of Difference Scheme for a Semilinear Parabolic Equation (II)
AU - Feng , Hui
AU - Shen , Longjun
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, Explicit difference scheme, Semilinear parabolic equation.
AB - <p style="text-align: justify;">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.</p>