Solving spline-collocation approximations to nonlinear two-point boundary-value problems by a homotopy method
type: Item
instance of: scholarly article
title: Solving spline-collocation approximations to nonlinear two-point boundary-value problems by a homotopy method
zbMATH Open document ID: 0635.65099
DOI: 10.1016/0096-3003(87)90015-4
author: Layne T. Watson
author: Melvin Scott
published in: Applied Mathematics and Computation
publication date: 1987-01-01T00:00:00Z
full work available at URL: CS84015-R.pdf
review text: A spline-collocation approximation to a class of nonlinear two-point boundary-value problems is considered. The resulting system of nonlinear equations is solved by a Chow-Yorke homotopy method. It could be shown that the algorithm is globally convergent. For the example of a fluid- dynamics boundary-value problem numerical results obtained with the software package HOMPACK are reported.
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 65H10
Mathematics Subject Classification ID: 34B15
zbMATH DE Number: 4035050
zbMATH Keywords: numerical examples
zbMATH Keywords: global convergence
zbMATH Keywords: spline-collocation approximation
zbMATH Keywords: Chow-Yorke homotopy method
reviewed by: Walter Zulehner
describes a project that uses: minpack
describes a project that uses: PITCON
describes a project that uses: COLSYS
MaRDI profile type: Publication
OpenAlex ID: W2133086779
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description: scientific article; zbMATH DE number 4035050