Spectral approximations for characteristic roots of delay differential equations

Vyasarayani, C P and Subhash, S and Kalmar-Nagy, T (2014) Spectral approximations for characteristic roots of delay differential equations. International Journal of Dynamics and Control, 2 (2). pp. 126-132. ISSN 2195-268X

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Abstract

In this paper we develop approximations to the characteristic roots of delay differential equations using the spectral tau and spectral least squares approach. We study the influence of different choices of basis functions in the spectral solution on the numerical convergence of the characteristic roots. We found that the spectral tau method performed better than the spectral least squares method. Legendre and Chebyshev bases provide much better convergence properties than the mixed Fourier basis.

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IITH Creators:
IITH CreatorsORCiD
Item Type: Article
Uncontrolled Keywords: Delay, Spectrum, Spectral least squares, Spectral-tau,
Subjects: ?? sub4.9 ??
Divisions: Department of Mechanical & Aerospace Engineering
Depositing User: Team Library
Date Deposited: 23 Dec 2014 11:20
Last Modified: 06 Feb 2015 06:54
URI: http://raiith.iith.ac.in/id/eprint/1234
Publisher URL: http://dx.doi.org/10.1007/s40435-014-0060-2
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