Linear Multistep Methods for Impulsive Differential Equations
Joint Authors
Liu, X.
Song, Minghui
Liu, Mingzhu
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-05-13
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Liu, X.& Song, Minghui& Liu, Mingzhu. 2012. Linear Multistep Methods for Impulsive Differential Equations. Discrete Dynamics in Nature and Society،Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-488488
Modern Language Association (MLA)
Liu, X.…[et al.]. Linear Multistep Methods for Impulsive Differential Equations. Discrete Dynamics in Nature and Society No. 2012 (2012), pp.1-14.
https://search.emarefa.net/detail/BIM-488488
American Medical Association (AMA)
Liu, X.& Song, Minghui& Liu, Mingzhu. Linear Multistep Methods for Impulsive Differential Equations. Discrete Dynamics in Nature and Society. 2012. Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-488488
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-488488
