Year: 2003
Author: Syed Khalid Jaffer, Ming-Zhu Liu
Journal of Computational Mathematics, Vol. 21 (2003), Iss. 4 : pp. 535–544
Abstract
This paper deals with a delay-dependent treatment of linear multistep methods for neutral delay differential equations y′(t)=ay(t)+by(t−τ)+cy′(t−τ),t>0,y(t)=g(t),−τ≤t≤0,a,b and c∈R. The necessary condition for linear multistep methods to be Nτ(0)-stable is given. It is shown that the trapezoidal rule is Nτ(0)-compatible. Figures of stability region for some linear multistep methods are depicted.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2003-JCM-10257
Journal of Computational Mathematics, Vol. 21 (2003), Iss. 4 : pp. 535–544
Published online: 2003-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: Delay-dependent stability Linear multistep methods Neutral delay differential equations.