A collocation method for nonlinear Cauchy singular integral equations
type: Item
instance of: scholarly article
title: A collocation method for nonlinear Cauchy singular integral equations
zbMATH Open document ID: 0947.65141
DOI: 10.1016/S0377-0427(99)00117-X
author: Peter Junghanns
author: Katja Müller
published in: Journal of Computational and Applied Mathematics
publication date: 2000-06-07T00:00:00Z
review text: This paper deals with nonlinear Cauchy singular integral equations of the second kind. The singularity is a finite part. The application of a collocation method with respect to the Chebyshev nodes of the second kind with a Newton iteration is discussed. The convergence of the Newton method is based on the stability of the collocation method which is proved by using Banach algebra techniques. Numerical results are presented.
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 45G05
zbMATH DE Number: 1423324
zbMATH Keywords: numerical results
zbMATH Keywords: nonlinear Cauchy singular integral equations
zbMATH Keywords: collocation method
zbMATH Keywords: Newton iteration
zbMATH Keywords: convergence
zbMATH Keywords: stability
reviewed by: Yves Cherruault
MaRDI profile type: Publication
cites work: Q5573390
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description: scientific article; zbMATH DE number 1423324