Linear multistep methods for impulsive delay differential equations

被引：10
|
作者：
Liu, X. [1 ]
Zeng, Y. M. [1 ]
机构：
[1] Liaocheng Univ, Sch Math Sci, Liaocheng 252059, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2018年 / 321卷
基金：
中国国家自然科学基金;
关键词：
Impulsive delay differential equations; Linear multistep methods; Convergence; Stability; RUNGE-KUTTA METHODS; SIR EPIDEMIC MODEL; ASYMPTOTIC STABILITY; NUMERICAL-METHODS;
D O I：
10.1016/j.amc.2017.11.014
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper deals with the convergence and stability of linear multistep methods for a class of linear impulsive delay differential equations. Numerical experiments show that the Simpson's Rule and two-step BDF method are of order p = 0 when applied to impulsive delay differential equations. An improved linear multistep numerical process is proposed. Convergence and stability conditions of the numerical solutions are given in the paper. Numerical experiments are given in the end to illustrate the conclusion. (C) 2017 Elsevier Inc. All rights reserved.
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页码：555 / 563
页数：9
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