J Austral Math Soc Ser B 36 pp234--241, 1994.

Convergence and stability analysis of an explicit finite difference method for 2-dimensional reaction-diffusion equations

Nian Li, Joseph Steiner and Shimin Tang

(Received 28 July 1992; revised 5 February 1993)

Abstract

The convergence and stability analysis of a simple explicit finite difference method is studied in this paper. Conditional convergence and stability theorems for this method are given. We have also proved that this scheme is stable in a much stronger sense.

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Authors

Nian Li
Joseph Steiner: Mathematics Department, Swinburne University of Technology, Hawthorn 3122, Australia.
Shimin Tang: Department of Mechanics, Peking University, Beijing, China.

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Last Modified: Mon Dec 10 10:35:15 2001