The transfer of the boundary condition from the infinity for the numerical solution to the second order equations with a~small parameter
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 2 (1999) no. 1, pp. 21-35
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The ordinary second order differential equations with a small parameter effecting the higher derivative on the semi-infinite interval are considered. The method of the transition of that problem to the finite interval is proposed. To solve the auxiliary Cauchy problem the asymptotic method is used.
@article{SJVM_1999_2_1_a2,
author = {A. I. Zadorin},
title = {The transfer of the boundary condition from the infinity for the numerical solution to the second order equations with a~small parameter},
journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
pages = {21--35},
publisher = {mathdoc},
volume = {2},
number = {1},
year = {1999},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/SJVM_1999_2_1_a2/}
}
TY - JOUR AU - A. I. Zadorin TI - The transfer of the boundary condition from the infinity for the numerical solution to the second order equations with a~small parameter JO - Sibirskij žurnal vyčislitelʹnoj matematiki PY - 1999 SP - 21 EP - 35 VL - 2 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/SJVM_1999_2_1_a2/ LA - ru ID - SJVM_1999_2_1_a2 ER -
%0 Journal Article %A A. I. Zadorin %T The transfer of the boundary condition from the infinity for the numerical solution to the second order equations with a~small parameter %J Sibirskij žurnal vyčislitelʹnoj matematiki %D 1999 %P 21-35 %V 2 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/SJVM_1999_2_1_a2/ %G ru %F SJVM_1999_2_1_a2
A. I. Zadorin. The transfer of the boundary condition from the infinity for the numerical solution to the second order equations with a~small parameter. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 2 (1999) no. 1, pp. 21-35. http://geodesic.mathdoc.fr/item/SJVM_1999_2_1_a2/