A note on the integral formulation of Kumar and Sloan
type: Item
instance of: scholarly article
title: A note on the integral formulation of Kumar and Sloan
zbMATH Open document ID: 0842.65096
DOI: 10.1016/0377-0427(94)00071-3
published in: Journal of Computational and Applied Mathematics
publication date: 1996-08-05T00:00:00Z
review text: The author considers a method recently developed by \textit{S. Kumar} and \textit{I. H. Sloan} [Math. Comput. 48, 585-593 (1987; Zbl 0616.65142)] in which the result of transforming nonlinear boundary value problems to an integral equation formulation is then solved by a collocation type method. In particular, the authors develop a posteriori error estimates using a computer algebra system. The note is concluded by some remarks involving the extension of the proposed method to multidimensional problems.
reviewed by: Douglas Quinney
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 45G10
Mathematics Subject Classification ID: 35J65
Mathematics Subject Classification ID: 35C15
Mathematics Subject Classification ID: 65N38
Mathematics Subject Classification ID: 68W30
zbMATH DE Number: 825295
zbMATH Keywords: Hammerstein integral equations
zbMATH Keywords: Green's functions
zbMATH Keywords: nonlinear boundary value problems
zbMATH Keywords: collocation methods
zbMATH Keywords: Mathematica
zbMATH Keywords: error estimates
zbMATH Keywords: computer algebra system
author: J. I. Frankel
describes a project that uses: Mathematica
MaRDI profile type: Publication
full work available at URL: 0377-0427(94)00071-3
OpenAlex ID: W2008740360
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description: scientific article; zbMATH DE number 825295