A Chebyshev Spectral Collocation Method for Nonlinear Volterra Integral Equations with Vanishing Delays
Year: 2018
East Asian Journal on Applied Mathematics, Vol. 8 (2018), Iss. 2 : pp. 233–260
Abstract
A multistep Chebyshev-Gauss-Lobatto spectral collocation method for nonlinear Volterra integral equations with vanishing delays is developed. The convergence of the hp-version of the method in supremum norm is proved. Numerical experiments show the efficiency of the method for equations with highly oscillating, steep gradient and non-smooth solutions.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.130416.071217a
East Asian Journal on Applied Mathematics, Vol. 8 (2018), Iss. 2 : pp. 233–260
Published online: 2018-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 28
Keywords: Multistep Chebyshev-Gauss-Lobatto spectral collocation method nonlinear Volterra integral equation vanishing variable delay.