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The Stability Analysis of the θ-Methods for Delay Differential Equations

The Stability Analysis of the $θ$-Methods for Delay Differential Equations

Year:    1996

Journal of Computational Mathematics, Vol. 14 (1996), Iss. 3 : pp. 203–212

Abstract

This paper deals with the stability analysis of θmethods 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(t)=a(t)y(t)+b(t)y(tτ), where τ>0, a(t) and b(t) are functions from R to C. It is proved that the linear θmethod and the one-leg θmethod are TGP-stable if and only if θ=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

Keywords: