Year: 1996
Journal of Computational Mathematics, Vol. 14 (1996), Iss. 3 : pp. 203–212
Abstract
This paper deals with the stability analysis of $\theta -$methods for the numerical solution of delay differential equations (DDEs). We focus on the behaviour of such methods in the solution of the linear test equation $y^{\prime}(t)=a(t)y(t)+b(t)y(t-\tau )$, where $\tau >0$, $a(t)$ and $b(t)$ are functions from $R$ to $C$. It is proved that the linear $\theta -$method and the one-leg $\theta -$method are TGP-stable if and only if $\theta =1.$
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/1996-JCM-9231
Journal of Computational Mathematics, Vol. 14 (1996), Iss. 3 : pp. 203–212
Published online: 1996-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 10