Year: 1998
Author: Bainian Lu, Guohua Wan, Bolin Guo
Journal of Computational Mathematics, Vol. 16 (1998), Iss. 3 : pp. 275–288
Abstract
In this paper, the initial value problem of nonlinear reaction-diffusion equation is considered. The Dufort-Frankel finite difference approximation for the long time scheme is given for the $d$-dimensional reaction-diffusion equation with the two different cases. The global solution and global attractor are discussed for the Dufort-Frankel scheme. Moreover, properties of the solution are studied. The error estimate is presented in a finite time region and in the global time region for some special cases. Finally the numerical results for the equation are investigated for Allen-Cahn equation and some other equations and the homoclinic orbit is simulated numerically.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/1998-JCM-9159
Journal of Computational Mathematics, Vol. 16 (1998), Iss. 3 : pp. 275–288
Published online: 1998-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 14
Keywords: Globel Dufort-Frankel method reaction-diffusion equation global attractor error estimate numerical experiments.