STABILITY PROPERTIES OF A SCHEME FOR THE APPROXIMATE SOLUTION OF A DELAY-INTEGRO-DIFFERENTIAL EQUATION

被引：42

作者：

BAKER, CTH ^{[1
]}

FORD, NJ ^{[1
]}

机构：

[1] CHESTER COLL HIGHER EDUC,CHESTER,ENGLAND

来源：

APPLIED NUMERICAL MATHEMATICS | 1992年 / 9卷 / 3-5期

关键词：

D O I：

10.1016/0168-9274(92)90027-B

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We discuss some stability properties of a numerical scheme applied to a Volterra integro-differential equation with a finite memory (in which the solution is determined by an initial function). The numerical scheme is based on a strongly-stable linear multistep formula and a consistent quadrature rule, applied with a fixed step.

引用

页码：357 / 370

页数：14

共 12 条

[1]

BAKER CTH, 1990, REMARKS STABILITY RE

[2]

BAKER CTH, 1989, 174 U MANCH NUM AN T

[3]

BAKER CTH, 1989, 180 U MANCH NUM AN T

[4]

Brunner H., 1986, CWI MONOGRAPHS, V3