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

Published online by Cambridge University Press:  17 February 2009

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

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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.

Type
Research Article
Information
The ANZIAM Journal , Volume 36 , Issue 2 , October 1994 , pp. 234 - 241
Copyright
Copyright © Australian Mathematical Society 1994

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