New implementation of the FD-method for Sturm--Liouville problems with Dirichlet--Neumann boundary conditions
Trudy Instituta matematiki, Tome 22 (2014) no. 1, pp. 98-106
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A new algorithm of the FD-method is proposed for solving Sturm–Liouville problems on an interval with Dirichlet–Neumann boundary conditions where the potential is a polynomial. A software implementation of the algorithm using a computer algebra software package shows its high efficiency.
@article{TIMB_2014_22_1_a7,
author = {V. L. Makarov and N. N. Romaniuk},
title = {New implementation of the {FD-method} for {Sturm--Liouville} problems with {Dirichlet--Neumann} boundary conditions},
journal = {Trudy Instituta matematiki},
pages = {98--106},
publisher = {mathdoc},
volume = {22},
number = {1},
year = {2014},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TIMB_2014_22_1_a7/}
}
TY - JOUR AU - V. L. Makarov AU - N. N. Romaniuk TI - New implementation of the FD-method for Sturm--Liouville problems with Dirichlet--Neumann boundary conditions JO - Trudy Instituta matematiki PY - 2014 SP - 98 EP - 106 VL - 22 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TIMB_2014_22_1_a7/ LA - ru ID - TIMB_2014_22_1_a7 ER -
%0 Journal Article %A V. L. Makarov %A N. N. Romaniuk %T New implementation of the FD-method for Sturm--Liouville problems with Dirichlet--Neumann boundary conditions %J Trudy Instituta matematiki %D 2014 %P 98-106 %V 22 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/TIMB_2014_22_1_a7/ %G ru %F TIMB_2014_22_1_a7
V. L. Makarov; N. N. Romaniuk. New implementation of the FD-method for Sturm--Liouville problems with Dirichlet--Neumann boundary conditions. Trudy Instituta matematiki, Tome 22 (2014) no. 1, pp. 98-106. http://geodesic.mathdoc.fr/item/TIMB_2014_22_1_a7/