GPd-stability of multistep Runge-Kutta method for neutral delay differential equations

Yang Xu; Ming Zhu Liu; Jing Jun Zhao

GP_d-stability of multistep Runge-Kutta method for neutral delay differential equations

Yang Xu^*
, Ming Zhu Liu
, Jing Jun Zhao

^*Corresponding author for this work

School of Mathematics

Harbin Institute of Technology

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

Abstract

The GP_d-stability of the multistep Runge-Kutta method for neutral delay differential equations with different delay terms is investigated. A sufficient condition of the analytical solution of the system which is asymptotically stable is derived. Furthermore, it is proved that, under the sufficient condition, the multistep Runge-Kutta method is GP_d-stable if and only if it is A-stable.

Original language	English
Pages (from-to)	1372-1374
Number of pages	3
Journal	Harbin Gongye Daxue Xuebao/Journal of Harbin Institute of Technology
Volume	36
Issue number	10
State	Published - Oct 2004

Keywords

Asymptotic stability
Delay differential equation
Numerical method

Cite this

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title = "GPd-stability of multistep Runge-Kutta method for neutral delay differential equations",

abstract = "The GPd-stability of the multistep Runge-Kutta method for neutral delay differential equations with different delay terms is investigated. A sufficient condition of the analytical solution of the system which is asymptotically stable is derived. Furthermore, it is proved that, under the sufficient condition, the multistep Runge-Kutta method is GPd-stable if and only if it is A-stable.",

keywords = "Asymptotic stability, Delay differential equation, Numerical method",

author = "Yang Xu and Liu, \{Ming Zhu\} and Zhao, \{Jing Jun\}",

year = "2004",

month = oct,

language = "英语",

volume = "36",

pages = "1372--1374",

journal = "Harbin Gongye Daxue Xuebao/Journal of Harbin Institute of Technology",

issn = "0367-6234",

publisher = "Harbin Institute of Technology",

number = "10",

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TY - JOUR

T1 - GPd-stability of multistep Runge-Kutta method for neutral delay differential equations

AU - Xu, Yang

AU - Liu, Ming Zhu

AU - Zhao, Jing Jun

PY - 2004/10

Y1 - 2004/10

N2 - The GPd-stability of the multistep Runge-Kutta method for neutral delay differential equations with different delay terms is investigated. A sufficient condition of the analytical solution of the system which is asymptotically stable is derived. Furthermore, it is proved that, under the sufficient condition, the multistep Runge-Kutta method is GPd-stable if and only if it is A-stable.

AB - The GPd-stability of the multistep Runge-Kutta method for neutral delay differential equations with different delay terms is investigated. A sufficient condition of the analytical solution of the system which is asymptotically stable is derived. Furthermore, it is proved that, under the sufficient condition, the multistep Runge-Kutta method is GPd-stable if and only if it is A-stable.

KW - Asymptotic stability

KW - Delay differential equation

KW - Numerical method

UR - https://www.scopus.com/pages/publications/11444266688

M3 - 文章

AN - SCOPUS:11444266688

SN - 0367-6234

VL - 36

SP - 1372

EP - 1374

JO - Harbin Gongye Daxue Xuebao/Journal of Harbin Institute of Technology

JF - Harbin Gongye Daxue Xuebao/Journal of Harbin Institute of Technology

IS - 10

ER -

GP_d-stability of multistep Runge-Kutta method for neutral delay differential equations

Abstract

Keywords

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