Linear Multistep Methods for Impulsive Differential Equations

X. Liu, M. H. Song and M. Z. Liu
Authors registered in the RePEc Author Service: Xiaoying Liu ()

Discrete Dynamics in Nature and Society, 2012, vol. 2012, 1-14

Abstract:

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.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:652928

DOI: 10.1155/2012/652928

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