NUMERICAL SOLUTION OF A NONLINEAR REACTION-DIFFUSION EQUATION

被引：1

作者：

唐世敏

秦素娣

R.O.Weber

机构：

[1] The University of New South Wales

[2] Beijing

[3] Australia

[4] Peking University

来源：

Applied Mathematics and Mechanics(English Edition) | 1991年 / 08期

关键词：

reaction-diffusion equation; Petrov-Galerkin finite element method; progressive wave;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

A nonlinear reaction-diffusion equation is studied numerically by a Petrov-Galerkinfinite element method,which has been proved to be2nd-order accurate in time and4th-orderin space.The comparison between the exact and numerical solutions of progressive wavesshows that this numerical scheme is quite accurate,stable and efficient.It is also shown thatany local disturbance will spread,have a full growth and finally form two progressive wavespropagating in both directions.The shape and the speed of the long term progressive wavesare determined by the system itself,and do not depend on the details of the initial values.

引用

页码：751 / 758

页数：8