FINITE-DIFFERENCE MODELS OF ORDINARY DIFFERENTIAL-EQUATIONS - INFLUENCE OF DENOMINATOR FUNCTIONS

被引：45
|
作者：
MICKENS, RE [1 ]
SMITH, A [1 ]
机构：
[1] ATLANTA UNIV,DEPT PHYS,ATLANTA,GA 30314
来源：
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 1990年 / 327卷 / 01期
基金：
美国国家航空航天局;
关键词：
D O I：
10.1016/0016-0032(90)90062-N
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
We discuss the influence on the solutions of finite-difference schemes of using a variety of denominator functions in the discrete modeling of the derivative for any ordinary differential equation. The results obtained are a consequence of using a generalized definition of the first derivative. The particular example of the linear decay equation is used to illustrate in detail the various solution possibilities that can occur. © 1990.
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页码：143 / 149
页数：7
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