Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 23 (1983) no. 3, pp. 646-659
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V. A. Galaktionov; A. A. Samarskii. Difference solutions of a class of quasilinear parabolic equations. I. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 23 (1983) no. 3, pp. 646-659. http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_3_a12/
@article{ZVMMF_1983_23_3_a12,
author = {V. A. Galaktionov and A. A. Samarskii},
title = {Difference solutions of a class of quasilinear parabolic {equations.~I}},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {646--659},
year = {1983},
volume = {23},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_3_a12/}
}
TY - JOUR
AU - V. A. Galaktionov
AU - A. A. Samarskii
TI - Difference solutions of a class of quasilinear parabolic equations. I
JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY - 1983
SP - 646
EP - 659
VL - 23
IS - 3
UR - http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_3_a12/
LA - ru
ID - ZVMMF_1983_23_3_a12
ER -
%0 Journal Article
%A V. A. Galaktionov
%A A. A. Samarskii
%T Difference solutions of a class of quasilinear parabolic equations. I
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 1983
%P 646-659
%V 23
%N 3
%U http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_3_a12/
%G ru
%F ZVMMF_1983_23_3_a12
The properties of implicit difference schemes for quasilinear parabolic equations of non-linear heat conduction with a source are investigated. The sufficient conditions for the scheme to be solvable, for a difference solution to be non-unique and non-existent, and also for its unlimited increase over a finite time, are determined.
