The Euler scheme and its convergence for impulsive delay differential equations

Xiaohua Ding; Kaining Wu Mingzhu Liu

doi:10.1016/j.amc.2010.03.007

The Euler scheme and its convergence for impulsive delay differential equations

Xiaohua Ding^*
, Kaining Wu Mingzhu Liu

^*Corresponding author for this work

Harbin Institute of Technology Weihai

Research output: Contribution to journal › Article › peer-review

32 Scopus citations

Abstract

This paper presents a fixed stepsize Euler scheme for linear impulsive delay differential equations and considers its convergence. We propose a method to take the partition nodes for the Euler scheme. Employing the induction and the technique of inequality, we obtain the order of convergence for Euler scheme. An example is given to illustrate the efficiency of our result.

Original language	English
Pages (from-to)	1566-1570
Number of pages	5
Journal	Applied Mathematics and Computation
Volume	216
Issue number	5
DOIs	https://doi.org/10.1016/j.amc.2010.03.007
State	Published - 1 May 2010
Externally published	Yes

Keywords

Convergence
Euler scheme
Fixed stepsize
Impulsive delay differential equations
Numerical method

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10.1016/j.amc.2010.03.007

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title = "The Euler scheme and its convergence for impulsive delay differential equations",

abstract = "This paper presents a fixed stepsize Euler scheme for linear impulsive delay differential equations and considers its convergence. We propose a method to take the partition nodes for the Euler scheme. Employing the induction and the technique of inequality, we obtain the order of convergence for Euler scheme. An example is given to illustrate the efficiency of our result.",

keywords = "Convergence, Euler scheme, Fixed stepsize, Impulsive delay differential equations, Numerical method",

author = "Xiaohua Ding and \{Mingzhu Liu\}, \{Kaining Wu\}",

year = "2010",

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doi = "10.1016/j.amc.2010.03.007",

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T1 - The Euler scheme and its convergence for impulsive delay differential equations

AU - Ding, Xiaohua

AU - Mingzhu Liu, Kaining Wu

PY - 2010/5/1

Y1 - 2010/5/1

N2 - This paper presents a fixed stepsize Euler scheme for linear impulsive delay differential equations and considers its convergence. We propose a method to take the partition nodes for the Euler scheme. Employing the induction and the technique of inequality, we obtain the order of convergence for Euler scheme. An example is given to illustrate the efficiency of our result.

AB - This paper presents a fixed stepsize Euler scheme for linear impulsive delay differential equations and considers its convergence. We propose a method to take the partition nodes for the Euler scheme. Employing the induction and the technique of inequality, we obtain the order of convergence for Euler scheme. An example is given to illustrate the efficiency of our result.

KW - Convergence

KW - Euler scheme

KW - Fixed stepsize

KW - Impulsive delay differential equations

KW - Numerical method

UR - https://www.scopus.com/pages/publications/77950860713

U2 - 10.1016/j.amc.2010.03.007

DO - 10.1016/j.amc.2010.03.007

M3 - 文章

AN - SCOPUS:77950860713

SN - 0096-3003

VL - 216

SP - 1566

EP - 1570

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 5

ER -

The Euler scheme and its convergence for impulsive delay differential equations

Abstract

Keywords

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