Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 23 (1983) no. 4, pp. 936-946
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V. A. Gasilov; T. K. Korshija; B. Ya. Lyubimov; V. F. Tishkin; A. P. Favorski; M. Yu. Shashkov. Application of the parallel-chord method to solve implicit difference equations of magnetohydrodynamics. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 23 (1983) no. 4, pp. 936-946. http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_4_a16/
@article{ZVMMF_1983_23_4_a16,
author = {V. A. Gasilov and T. K. Korshija and B. Ya. Lyubimov and V. F. Tishkin and A. P. Favorski and M. Yu. Shashkov},
title = {Application of the parallel-chord method to solve implicit difference equations of magnetohydrodynamics},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {936--946},
year = {1983},
volume = {23},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_4_a16/}
}
TY - JOUR
AU - V. A. Gasilov
AU - T. K. Korshija
AU - B. Ya. Lyubimov
AU - V. F. Tishkin
AU - A. P. Favorski
AU - M. Yu. Shashkov
TI - Application of the parallel-chord method to solve implicit difference equations of magnetohydrodynamics
JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY - 1983
SP - 936
EP - 946
VL - 23
IS - 4
UR - http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_4_a16/
LA - ru
ID - ZVMMF_1983_23_4_a16
ER -
%0 Journal Article
%A V. A. Gasilov
%A T. K. Korshija
%A B. Ya. Lyubimov
%A V. F. Tishkin
%A A. P. Favorski
%A M. Yu. Shashkov
%T Application of the parallel-chord method to solve implicit difference equations of magnetohydrodynamics
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 1983
%P 936-946
%V 23
%N 4
%U http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_4_a16/
%G ru
%F ZVMMF_1983_23_4_a16
A system of implicit difference equations of magnetohydrodynamics in a two-dimensional formulation is examined. The initial equations are linearized in such a way that a set of linear equations is obtained in increments of the node coordinates of a difference mesh. The matrix of the system is symmetric and positive definite, which enables effective methods of inversion to be used. A numerical solution of a model problem of the compression of a finite perfectly conducting plasma in a magnetic field is given as an example.
