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.
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页码：1420 / 1430
页数：11
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