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Convergence Analysis of Spectral Methods for Integro-Differential Equations with Vanishing Proportional Delays

Convergence Analysis of Spectral Methods for Integro-Differential Equations with Vanishing Proportional Delays
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Year:    2011

Journal of Computational Mathematics, Vol. 29 (2011), Iss. 1 : pp. 49–60

Abstract

We describe the application of the spectral method to delay integro-differential equations with proportional delays. It is shown that the resulting numerical solutions exhibit the spectral convergence order. Extensions to equations with more general (nonlinear) vanishing delays are also discussed.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/jcm.1006-m3150

Journal of Computational Mathematics, Vol. 29 (2011), Iss. 1 : pp. 49–60

Published online:    2011-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    12

Keywords:    Delay integro-differential equations Proportional delays Spectral methods Convergence analysis.

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