@Article{JCM-21-4,
author = {Syed, Khalid, Jaffer and Ming-Zhu, Liu},
title = {Delay-Dependent Treatment of Linear Multistep Methods for Neutral Delay Differential Equations},
journal = {Journal of Computational Mathematics},
year = {2003},
volume = {21},
number = {4},
pages = {535--544},
abstract = {<p style="text-align: justify;">This paper deals with a delay-dependent treatment of linear multistep methods for neutral delay differential equations $y&#39;(t) = ay(t) + by(t - \tau) + cy&#39;(t - \tau), t &gt; 0, y(t) = g(t), -\tau ≤ t ≤ 0, a,b$&nbsp; and $c \in&nbsp; \mathbb{R}.$ 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.</p>},
issn = {1991-7139},
doi = {https://doi.org/2003-JCM-10257},
url = {https://global-sci.com/article/85348/delay-dependent-treatment-of-linear-multistep-methods-for-neutral-delay-differential-equations}
}