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 $y'(t) = ay(t) + by(t - \tau) + cy'(t - \tau), t > 0, y(t) = g(t), -\tau ≤ t ≤ 0, a,b$ and $c \in \mathbb{R}.$ The necessary condition for linear multistep methods to be $N_\tau(0)$-stable is given. It is shown that the trapezoidal rule is $N_\tau(0)$-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.