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
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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.
@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},
publisher = {mathdoc},
volume = {49},
number = {9},
year = {2009},
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 PB - mathdoc 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 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_9_a8/ %G ru %F ZVMMF_2009_49_9_a8
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/