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Spring 2020 An $h$-$p$ version of the Chebyshev spectral collocation method for Volterra integro-differential equations with vanishing delays
Lina Wang, Lijun Yi, Hongli Jia
J. Integral Equations Applications 32(1): 101-128 (Spring 2020). DOI: 10.1216/JIE.2020.32.101

Abstract

We propose a spectral collocation method based on the Chebyshev–Gauss–Lobatto points for linear Volterra integro-differential equations with vanishing delays. We derive an h-p version a-priori error estimate in the H1-norm that is completely explicit in the local time steps and the local polynomial degrees. Numerical experiments are provided to confirm the theoretical results.

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Lina Wang. Lijun Yi. Hongli Jia. "An $h$-$p$ version of the Chebyshev spectral collocation method for Volterra integro-differential equations with vanishing delays." J. Integral Equations Applications 32 (1) 101 - 128, Spring 2020. https://doi.org/10.1216/JIE.2020.32.101

Information

Received: 7 October 2017; Revised: 1 December 2018; Accepted: 28 December 2018; Published: Spring 2020
First available in Project Euclid: 25 June 2020

zbMATH: 07223726
MathSciNet: MR4115975
Digital Object Identifier: 10.1216/JIE.2020.32.101

Rights: Copyright © 2020 Rocky Mountain Mathematics Consortium

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Vol.32 • No. 1 • Spring 2020
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