Transfer of conditions for singular boundary value problems
Applications of Mathematics, Tome 34 (1989) no. 3, pp. 246-258
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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.
DOI :
10.21136/AM.1989.104351
Classification :
34B05, 34B15, 65L10, 81Q05
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
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
@article{10_21136_AM_1989_104351,
author = {P\v{r}ikryl, Petr and Taufer, Ji\v{r}{\'\i} and Vit\'asek, Emil},
title = {Transfer of conditions for singular boundary value problems},
journal = {Applications of Mathematics},
pages = {246--258},
publisher = {mathdoc},
volume = {34},
number = {3},
year = {1989},
doi = {10.21136/AM.1989.104351},
mrnumber = {0996899},
zbl = {0685.65078},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.1989.104351/}
}
TY - JOUR AU - Přikryl, Petr AU - Taufer, Jiří AU - Vitásek, Emil TI - Transfer of conditions for singular boundary value problems JO - Applications of Mathematics PY - 1989 SP - 246 EP - 258 VL - 34 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.21136/AM.1989.104351/ DO - 10.21136/AM.1989.104351 LA - en ID - 10_21136_AM_1989_104351 ER -
%0 Journal Article %A Přikryl, Petr %A Taufer, Jiří %A Vitásek, Emil %T Transfer of conditions for singular boundary value problems %J Applications of Mathematics %D 1989 %P 246-258 %V 34 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.21136/AM.1989.104351/ %R 10.21136/AM.1989.104351 %G en %F 10_21136_AM_1989_104351
Přikryl, Petr; Taufer, Jiří; Vitásek, Emil. Transfer of conditions for singular boundary value problems. Applications of Mathematics, Tome 34 (1989) no. 3, pp. 246-258. doi: 10.21136/AM.1989.104351
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