Higher order Runge-Kutta methods for impulsive differential systems

被引：3

作者：

Baier, R. ^{[2
]}

Din, Q. ^{[1
]}

Donchev, T. ^{[1
]}

机构：

[1] ASSMS, Lahore, Pakistan

[2] Univ Bayreuth, Dept Math, Chair Appl Math, D-95440 Bayreuth, Germany

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2012年 / 218卷 / 24期

关键词：

Impulsive differential equations; Runge-Kutta methods; Variable times of impulses; APPROXIMATION;

D O I：

10.1016/j.amc.2012.05.037

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper studies higher order approximations of solutions of differential equations with non-fixed times of impulses. We assume that the right-hand side is sufficiently smooth. Using a Runge-Kutta method of higher order and natural assumptions on the impulsive surfaces and the impulses, we calculate good approximations of the jump times, which enables us to extend the classical results for higher order of convergence of Runge-Kutta methods to more complicated systems. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：11790 / 11798

页数：9