Best finite-difference scheme for the Fisher equation

被引：0
|
作者：
Mickens, Ronald E. [1 ]
机构：
[1] Clark Atlanta Univ, Atlanta, United States
来源：
Numerical Methods for Partial Differential Equations | 1994年 / 10卷 / 05期
关键词：
Convergence of numerical methods - Differential equations - Integration - Mathematical models;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A new class of finite-difference schemes is constructed for the Fisher partial differential equation. These schemes are constructed according to the nonstandard modeling rules formulated by Mickens. They have the property that, in the appropriate limits, the discrete models obtained are either `exact' or `best' finite-difference schemes for corresponding differential equation. Consequently, the elementary numerical instabilities will not occur.
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页码：581 / 585
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