Spectral methods for weakly singular Volterra integral equations with smooth solutions
type: Item
instance of: scholarly article
title: Spectral methods for weakly singular Volterra integral equations with smooth solutions
zbMATH Open document ID: 1186.65161
author: Yanping Chen
author: Tao Tang
published in: Journal of Computational and Applied Mathematics
publication date: 2009-11-06T00:00:00Z
review text: The authors investigate a spectral Jacobi-collocation approximation for finding the solution of a linear Volterra integral equation of the second kind with weakly singular kernel and a sufficiently smooth condition by using the infinity norm and the norm on a weighted Sobolev space based on a paper of \textit{B. Guo} and \textit{L. Wang} [J. Approximation Theory 128, No.~1, 1--41 (2004; Zbl 1057.41003)].
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 45D05
Mathematics Subject Classification ID: 45E10
zbMATH DE Number: 5626993
zbMATH Keywords: singular kernels
zbMATH Keywords: smooth solutions
zbMATH Keywords: spectral methods
zbMATH Keywords: error analysis
zbMATH Keywords: collocation
zbMATH Keywords: linear Volterra integral equation
zbMATH Keywords: second kind
reviewed by: Chuangan Hu
MaRDI profile type: Publication
full work available at URL: j.cam.2009.08.057
OpenAlex ID: W1988494370
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DOI: 10.1016/J.CAM.2009.08.057
description: scientific article; zbMATH DE number 5626993