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Title: Transfer of conditions for singular boundary value problems (English)
Author: Přikryl, Petr
Author: Taufer, Jiří
Author: Vitásek, Emil
Language: English
Journal: Aplikace matematiky
ISSN: 0373-6725
Volume: 34
Issue: 3
Year: 1989
Pages: 246-258
Summary lang: English
Summary lang: Russian
Summary lang: Czech
Category: math
Summary: Numerical solution of linear boundary value problems for ordinary differential equations by the method of transfer of conditions consists in replacing the problem under consideration by a sequence of initial value problems. The method of transfer for systems of equations of the first order with Lebesque integrable coefficients was studied by one of the authors before. The purpose of this paper is to extend the idea of the transfer of conditions to singular boundary value problems for a linear second-order differential equation. (English)
Keyword: invariant imbedding
Keyword: singular boundary value problems
Keyword: linear second order differential equation
Keyword: method of transfer of conditions
Keyword: Fourier method
Keyword: Poisson equation
Keyword: radial Schrödinger equation
Keyword: numerical analysis
MSC: 34B05
MSC: 34B15
MSC: 65L10
MSC: 81Q05
idZBL: Zbl 0685.65078
idMR: MR0996899
DOI: 10.21136/AM.1989.104351
Date available: 2008-05-20T18:36:46Z
Last updated: 2020-07-28
Stable URL:
Reference: [1] G. H. Meyer: Initial Value Methods for Boundary Value Problems - Theory and Application of Invariant Imbedding.Academic Press, New York 1973. Zbl 0304.34018, MR 0488791
Reference: [2] J. Taufer: Lösung der Randwertprobleme für Systeme von linearen Differentialgleichungen.Rozpravy ČSAV 83 (1973), No. 5. Zbl 0276.34009
Reference: [3] J. Taufer: Numerical Solution of Boundary Value Problems by Stable Methods Based on the Transfer of Conditions.In: Numerical Solutions of Boundary Value Problems for Ordinary Differential Equations (A. K. Aziz, ed.), Academic Press, New York-San Francisco- London 1975, pp. 317-330. Zbl 0335.65036, MR 0405872


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