文章基本信息

标题：Linear Multistep Methods for Impulsive Differential Equations
本地全文：下载
作者：X. Liu ; M. H. Song ; M. Z. Liu 等
期刊名称：Discrete Dynamics in Nature and Society
印刷版ISSN：1026-0226
电子版ISSN：1607-887X
出版年度：2012
卷号：2012
DOI：10.1155/2012/652928
出版社：Hindawi Publishing Corporation
摘要：This paper deals with the convergence and stability of linear multistep methods for impulsive differential equations. Numerical experiments demonstrate that both the mid-point rule and two-step BDF method are of order 𝑝=0 when applied to impulsive differential equations. An improved linear multistep method is proposed. Convergence and stability conditions of the improved methods are given in the paper. Numerical experiments are given in the end to illustrate the conclusion.