Volume 12, Issue 3
An hp-Version Chebyshev Spectral Collocation Method for Nonlinear Volterra Integro-Differential Equations with Weakly Singular Kernels

Hongli Jia ,  Yang Yang and Zhongqing Wang

10.4208/nmtma.OA-2018-0104

Numer. Math. Theor. Meth. Appl., 12 (2019), pp. 969-994.

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  • Abstract

This paper presents an hp-version Chebyshev spectral collocation method for nonlinear Volterra integro-differential equations with weakly singular kernels. The hpversion error bound of the collocation method under the H1 -norm is established on an arbitrary mesh. Numerical experiments demonstrate the effectiveness of the proposed method.

  • History

Published online: 2019-04

  • AMS Subject Headings

65L60, 45D05, 41A10

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