A hybrid collocation method for a nonlinear Volterra integral equation with weakly singular kernel
type: Item
instance of: scholarly article
title: A hybrid collocation method for a nonlinear Volterra integral equation with weakly singular kernel
zbMATH Open document ID: 1196.65202
author: Magda Rebelo
author: M. Teresa Diogo
published in: Journal of Computational and Applied Mathematics
publication date: 2010-06-22T00:00:00Z
review text: The authors study the numerical solution of a nonlinear weakly singular Volterra integral equation. Taking behavior of the solution near the origin into consideration, the global convergence order of product integration and collocation methods is not optimal. To avoid this problem, a special hybrid collocation method is used. Numerical examples support the theoretical study.
reviewed by: Josef Kofroň
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 45D05
Mathematics Subject Classification ID: 45G05
zbMATH DE Number: 5724553
zbMATH Keywords: nonlinear weakly singular Volterra integral equation
zbMATH Keywords: hybrid collocation method
zbMATH Keywords: convergence
zbMATH Keywords: product integration
MaRDI profile type: Publication
full work available at URL: j.cam.2010.01.034
OpenAlex ID: W1999030362
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DOI: 10.1016/J.CAM.2010.01.034
description: scientific article; zbMATH DE number 5724553