LONG TIME ASYMPTOTIC BEHAVIOR OF SOLUTIONS OF EXPLICIT DIFFERENCE SCHEME FOR SEMILINEAR PARABOLIC EQUATIONS LONG TIME ASYMPTOTIC BEHAVIOR OF SOLUTIONS OF EXPLICIT DIFFERENCE SCHEME FOR SEMILINEAR PARABOLIC EQUATIONS期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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LONG TIME ASYMPTOTIC BEHAVIOR OF SOLUTIONS OF EXPLICIT DIFFERENCE SCHEME FOR SEMILINEAR PARABOLIC EQUATIONS

作者姓名：	Hui Feng

作者单位：	Hui Feng (Department of Mathematics，Wuhan University，Wuhan 430072，China )Long-jun Shen(Laboratory of Computational Physics Institute of Applied Physics and Computational Mathematics，P.O.Box 8009，Beijing 100088，China)

基金项目：	Project(Grant 10101018) Supported by National Natural Science Foundation of China.

摘要：	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 H1 norm as t →∞. We get the long time asymptotic behavior of the discrete solutions which is interested in comparing to the case of continuous solutions.
LONG TIME ASYMPTOTIC BEHAVIOR OF SOLUTIONS OF EXPLICIT DIFFERENCE SCHEME FOR SEMILINEAR PARABOLIC EQUATIONS

Hui Feng.LONG TIME ASYMPTOTIC BEHAVIOR OF SOLUTIONS OF EXPLICIT DIFFERENCE SCHEME FOR SEMILINEAR PARABOLIC EQUATIONS[J].Journal of Computational Mathematics,2002(5).

Authors:	Hui Feng

Abstract:

Keywords:	Asymptotic behavior Explicit difference scheme Semilinear prarbolic equations
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