Collocation methods for impulsive differential equations

Zuhua Zhang; Hui Liang

doi:10.1016/j.amc.2013.11.085

Collocation methods for impulsive differential equations

Zuhua Zhang
, Hui Liang^*

^*Corresponding author for this work

Heilongjiang University

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

20 Scopus citations

Abstract

By choosing a suitable piecewise continuous collocation space, the convergence, global superconvergence and local superconvergence of the collocation solution for linear impulsive differential equations are derived. The conditions that the collocation solution is asymptotical stable are obtained and some numerical experiments are given.

Original language	English
Pages (from-to)	336-348
Number of pages	13
Journal	Applied Mathematics and Computation
Volume	228
DOIs	https://doi.org/10.1016/j.amc.2013.11.085
State	Published - 1 Feb 2014
Externally published	Yes

Keywords

Asymptotic stability
Collocation methods
Convergence
Impulsive differential equations
Superconvergence

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10.1016/j.amc.2013.11.085

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title = "Collocation methods for impulsive differential equations",

abstract = "By choosing a suitable piecewise continuous collocation space, the convergence, global superconvergence and local superconvergence of the collocation solution for linear impulsive differential equations are derived. The conditions that the collocation solution is asymptotical stable are obtained and some numerical experiments are given.",

keywords = "Asymptotic stability, Collocation methods, Convergence, Impulsive differential equations, Superconvergence",

author = "Zuhua Zhang and Hui Liang",

year = "2014",

month = feb,

day = "1",

doi = "10.1016/j.amc.2013.11.085",

language = "英语",

volume = "228",

pages = "336--348",

journal = "Applied Mathematics and Computation",

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T1 - Collocation methods for impulsive differential equations

AU - Zhang, Zuhua

AU - Liang, Hui

PY - 2014/2/1

Y1 - 2014/2/1

N2 - By choosing a suitable piecewise continuous collocation space, the convergence, global superconvergence and local superconvergence of the collocation solution for linear impulsive differential equations are derived. The conditions that the collocation solution is asymptotical stable are obtained and some numerical experiments are given.

AB - By choosing a suitable piecewise continuous collocation space, the convergence, global superconvergence and local superconvergence of the collocation solution for linear impulsive differential equations are derived. The conditions that the collocation solution is asymptotical stable are obtained and some numerical experiments are given.

KW - Asymptotic stability

KW - Collocation methods

KW - Convergence

KW - Impulsive differential equations

KW - Superconvergence

UR - https://www.scopus.com/pages/publications/84891275438

U2 - 10.1016/j.amc.2013.11.085

DO - 10.1016/j.amc.2013.11.085

M3 - 文章

AN - SCOPUS:84891275438

SN - 0096-3003

VL - 228

SP - 336

EP - 348

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

ER -

Collocation methods for impulsive differential equations

Abstract

Keywords

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