FD-method for Sturm-Liouville problem with boundary value conditions of the third kind
type: Item
instance of: scholarly article
zbMATH Open document ID: 0962.65062
author: O. L. Ukhan'ov
publication date: 2001-03-01T00:00:00Z
Mathematics Subject Classification ID: 65L15
Mathematics Subject Classification ID: 34L15
Mathematics Subject Classification ID: 65L12
Mathematics Subject Classification ID: 65L20
zbMATH DE Number: 1571631
zbMATH Keywords: algorithm
zbMATH Keywords: Sturm-Liouville problem
zbMATH Keywords: boundary value conditions of the third kind
zbMATH Keywords: Pruess method
zbMATH Keywords: convergence
zbMATH Keywords: finite difference method
MaRDI profile type: Publication
title: FD-method for Sturm-Liouville problem with boundary value conditions of the third kind
published in: Visnyk. Seriya: Fizyko-Matematychni Nauky. Kyïvs'kyĭ Universytet Imeni Tarasa Shevchenka
review text: The author considers the boundary value problem NEWLINE\[NEWLINEu''(x)+[\lambda-q(x)]u(x)=0, \;x\in (0,1), \quad u'(0)=\alpha u(0),\;u'(1)=-\beta u(1), \quad \alpha,\beta\geq 0,NEWLINE\]NEWLINE where \(q(x)\geq 0\) is a given piecewise smooth function. The Pruess method is used for approximation of solution of the given problem. A theorem on the rate of convergence of the finite difference (FD) method is proved and an algorithmic implementation of the FD-method is presented.
reviewed by: Aleksandr D. Borisenko
description: scientific article