Volume 8, Issue 2
A Chebyshev Spectral Collocation Method for Nonlinear Volterra Integral Equations with Vanishing Delays

Zhong-Qing Wang ,  Chang-Tao Sheng ,  Hong-Li Jia and Dao Li

10.4208/eajam.130416.071217a

East Asian J. Appl. Math., 8 (2018), pp. 233-260.

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  • 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.

  • History

Published online: 2018-05

  • AMS Subject Headings

65L60, 45D05, 41A10

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