PRESERVATION OF OSCILLATIONS IN THE RUNGE-KUTTA METHOD FOR A TYPE OF ADVANCED DIFFERENTIAL EQUATION

被引：3

作者：

Gao, Jianfang ^{[1
]}

Shi, Tiantian ^{[1
]}

Song, Fuyi ^{[1
]}

机构：

[1] Harbin Normal Univ, Sch Math Sci, Harbin 150025, Peoples R China

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2015年 / 36卷 / 11期

基金：

黑龙江省自然科学基金;

关键词：

Delay differential equation; Numerical solution; Oscillation; Runge-Kutta methods; NUMERICAL-SOLUTION; THETA-METHODS; PIECEWISE; STABILITY; SYSTEMS;

D O I：

10.1080/01630563.2015.1070863

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article is concerned with the preservation of oscillations for differential equations with piecewise constant arguments of advanced type. By using the Runge-Kutta method, new oscillation conditions for numerical solution are established. We prove that oscillations of the analytic solution are preserved by the numerical solution in the Runge-Kutta method under some conditions. Some experiments are given.

引用

页码：1420 / 1430

页数：11

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