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→∞. For nonlinea...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→∞. 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.展开更多
Presents a study that investigated the asymptotic behavior of discrete solutions in comparison to the case of continuous solutions. Numerical representation of the problem; Details on the solution of explicit differen...Presents a study that investigated the asymptotic behavior of discrete solutions in comparison to the case of continuous solutions. Numerical representation of the problem; Details on the solution of explicit difference scheme for the corresponding nonlinear elliptic equations; Results and discussion.展开更多
文摘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→∞. 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.
基金Project(Grant 10101018) Supported by National Natural Science Foundation of China.
文摘Presents a study that investigated the asymptotic behavior of discrete solutions in comparison to the case of continuous solutions. Numerical representation of the problem; Details on the solution of explicit difference scheme for the corresponding nonlinear elliptic equations; Results and discussion.
