Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 23 (1983) no. 5, pp. 1088-1097
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M. M. Karchevskii. Some methods of solving the first boundary value problem for the biharmonic difference equation. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 23 (1983) no. 5, pp. 1088-1097. http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_5_a5/
@article{ZVMMF_1983_23_5_a5,
author = {M. M. Karchevskii},
title = {Some methods of solving the first boundary value problem for the biharmonic difference equation},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {1088--1097},
year = {1983},
volume = {23},
number = {5},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_5_a5/}
}
TY - JOUR
AU - M. M. Karchevskii
TI - Some methods of solving the first boundary value problem for the biharmonic difference equation
JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY - 1983
SP - 1088
EP - 1097
VL - 23
IS - 5
UR - http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_5_a5/
LA - ru
ID - ZVMMF_1983_23_5_a5
ER -
%0 Journal Article
%A M. M. Karchevskii
%T Some methods of solving the first boundary value problem for the biharmonic difference equation
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 1983
%P 1088-1097
%V 23
%N 5
%U http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_5_a5/
%G ru
%F ZVMMF_1983_23_5_a5
An iterative method is given for solving the Dirichlet problem for the biharwonic difference equation in a rectangular domain requiring $O(h^{-2}\ln\varepsilon^{-1})$ arithmetic operations. In the case of a circular domain, a direct method is discribed, requiring $O(h^{-2}\ln h^{-1})$ operations.
