Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 9, pp. 1622-1628
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L. F. Yukhno. Economic difference scheme for a parabolic equation with a mixed spatial derivative. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 9, pp. 1622-1628. http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_9_a8/
@article{ZVMMF_2009_49_9_a8,
author = {L. F. Yukhno},
title = {Economic difference scheme for a~parabolic equation with a~mixed spatial derivative},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {1622--1628},
year = {2009},
volume = {49},
number = {9},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_9_a8/}
}
TY - JOUR
AU - L. F. Yukhno
TI - Economic difference scheme for a parabolic equation with a mixed spatial derivative
JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY - 2009
SP - 1622
EP - 1628
VL - 49
IS - 9
UR - http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_9_a8/
LA - ru
ID - ZVMMF_2009_49_9_a8
ER -
%0 Journal Article
%A L. F. Yukhno
%T Economic difference scheme for a parabolic equation with a mixed spatial derivative
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2009
%P 1622-1628
%V 49
%N 9
%U http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_9_a8/
%G ru
%F ZVMMF_2009_49_9_a8
A modification of a well-known locally one-dimensional method for a parabolic equation is proposed. The method remains economic even if the equation involves a mixed derivative with respect to spatial variables. A model case study of the method is presented. Numerical results are given that demonstrate the efficiency of the method.
