High order discrete method for a class of two-point boundary value problems with periodic boundary conditions
type: Item
instance of: scholarly article
title: High order discrete method for a class of two-point boundary value problems with periodic boundary conditions
zbMATH Open document ID: 0832.65084
DOI: 10.1016/0895-7177(95)00042-Z
author: C. P. Katti
author: S. N. Baboo
published in: Mathematical and Computer Modelling
publication date: 1996-03-11T00:00:00Z
review text: The paper is concerned with second-order ordinary differential equations subject to periodic boundary conditions. A three-point difference scheme is proposed which provides an \(O(h^5)\) local error. In the main part of the article the authors prove that the global error is \(O(h^4)\) (i.e., fourth-order convergence), requiring, in addition, certain bounds for the derivative of the nonlinearity ensuring the stability of the method.
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 65L12
Mathematics Subject Classification ID: 65L20
Mathematics Subject Classification ID: 65L70
Mathematics Subject Classification ID: 34B15
Mathematics Subject Classification ID: 34C25
zbMATH DE Number: 774801
zbMATH Keywords: error bound
zbMATH Keywords: periodic boundary conditions
zbMATH Keywords: three-point difference scheme
zbMATH Keywords: convergence
zbMATH Keywords: stability
reviewed by: Michael Plum
MaRDI profile type: Publication
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full work available at URL: 0895-7177(95)00042-z
OpenAlex ID: W1977033880
description: scientific article; zbMATH DE number 774801