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 - version a-priori error estimate in the -norm that is completely explicit in the local time steps and the local polynomial degrees. Numerical experiments are provided to confirm the theoretical results.
Citation
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
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