Runge-Kutta Methods for Differential Equations with Variable Time of Impulses

被引：4

作者：

Din, Q. ^{[1
]}

Donchev, T. ^{[2
]}

Nosheen, A. ^{[3
]}

Rafaqat, M. ^{[4
]}

机构：

[1] Univ Poonch Rawalakot, Dept Math, Ravalakol, Pakistan

[2] Alexandru Ioan Cuza Univ, Dept Math, Iasi 700506, Romania

[3] Univ Sargodha, Dept Math, Sargodha, Pakistan

[4] ASSMS, Lahore, Pakistan

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2015年 / 36卷 / 06期

关键词：

34A37; 65L06; Switching surfaces; Runge-Kutta methods; Impulsive differential equations; APPROXIMATION;

D O I：

10.1080/01630563.2015.1031380

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, Runge-Kutta methods of order p are used to approximate the solutions of differential equations with variable times of impulses. It is proved that these methods have order of approximation O(h ( p )) w.r.t. the defined measure of distance. Illustrative examples with different strategies to find the events are provided.

引用

页码：777 / 791

页数：15

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