A collocation method for solving a class of singular nonlinear two-point boundary value problems
type: Item
instance of: scholarly article
title: A collocation method for solving a class of singular nonlinear two-point boundary value problems
zbMATH Open document ID: 0888.65088
DOI: 10.1016/S0377-0427(97)00070-8
author: Ruibin Qu
author: Ravi P. Agarwal
published in: Journal of Computational and Applied Mathematics
publication date: 1997-11-06T00:00:00Z
review text: A nonlinear two-point boundary value problem with a degenerate coefficient at the higher derivative is considered. An iterative algorithm for solving this problem is formulated. This method is basically a collocation method. It is proved that the iterative algorithm converges to a smooth approximate solution provided the boundary value problem is well posed and the algorithm is applied appropriately. It is shown that the method has fourth-order accuracy for sufficiently smooth solutions.
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 34B15
Mathematics Subject Classification ID: 65L60
Mathematics Subject Classification ID: 65L70
zbMATH DE Number: 1084126
zbMATH Keywords: convergence
zbMATH Keywords: error bound
zbMATH Keywords: nonlinear two-point boundary value problem
zbMATH Keywords: degenerate coefficient
zbMATH Keywords: iterative algorithm
zbMATH Keywords: collocation method
reviewed by: V. V. Strygin
MaRDI profile type: Publication
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full work available at URL: s0377-0427(97)00070-8
OpenAlex ID: W2045613666
description: scientific article; zbMATH DE number 1084126