Transfer of conditions for singular boundary value problems

Petr Přikryl; Jiří Taufer; Emil Vitásek

Aplikace matematiky (1989)

  • Volume: 34, Issue: 3, page 246-258
  • ISSN: 0862-7940

Abstract

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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.

How to cite

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Přikryl, Petr, Taufer, Jiří, and Vitásek, Emil. "Transfer of conditions for singular boundary value problems." Aplikace matematiky 34.3 (1989): 246-258. <http://eudml.org/doc/15579>.

@article{Přikryl1989,
abstract = {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.},
author = {Přikryl, Petr, Taufer, Jiří, Vitásek, Emil},
journal = {Aplikace matematiky},
keywords = {invariant imbedding; singular boundary value problems; linear second order differential equation; method of transfer of conditions; Fourier method; Poisson equation; radial Schrödinger equation; numerical analysis; invariant imbedding; singular boundary value problems; linear second order differential equation; method of transfer of conditions; Fourier method; Poisson equation; radial Schrödinger equation},
language = {eng},
number = {3},
pages = {246-258},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Transfer of conditions for singular boundary value problems},
url = {http://eudml.org/doc/15579},
volume = {34},
year = {1989},
}

TY - JOUR
AU - Přikryl, Petr
AU - Taufer, Jiří
AU - Vitásek, Emil
TI - Transfer of conditions for singular boundary value problems
JO - Aplikace matematiky
PY - 1989
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 34
IS - 3
SP - 246
EP - 258
AB - 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.
LA - eng
KW - invariant imbedding; singular boundary value problems; linear second order differential equation; method of transfer of conditions; Fourier method; Poisson equation; radial Schrödinger equation; numerical analysis; invariant imbedding; singular boundary value problems; linear second order differential equation; method of transfer of conditions; Fourier method; Poisson equation; radial Schrödinger equation
UR - http://eudml.org/doc/15579
ER -

References

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  1. G. H. Meyer, Initial Value Methods for Boundary Value Problems - Theory and Application of Invariant Imbedding, Academic Press, New York 1973. (1973) Zbl0304.34018MR0488791
  2. J. Taufer, Lösung der Randwertprobleme für Systeme von linearen Differentialgleichungen, Rozpravy ČSAV 83 (1973), No. 5. (1973) Zbl0276.34009
  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. (1975) Zbl0335.65036MR0405872

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