The locally-one-dimensional scheme for the equation of heat conductivity with the concentrated thermal capacity
Vladikavkazskij matematičeskij žurnal, Tome 15 (2013) no. 4, pp. 58-64
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The work is devoted to locally-one-dimensional schemes for the equation of heat conductivity with a non-stationary boundary condition which imitate a concentrated thermal capacity placed on domain boundary. A priori estimate in the uniform metrics is obtained and the convergence of the constructed scheme on a cubic net is proved.
@article{VMJ_2013_15_4_a7,
author = {M. Kh. Shkhanukov and M. M. Lafisheva and F. M. Nakhusheva and A. B. Mambetova},
title = {The locally-one-dimensional scheme for the equation of heat conductivity with the concentrated thermal capacity},
journal = {Vladikavkazskij matemati\v{c}eskij \v{z}urnal},
pages = {58--64},
year = {2013},
volume = {15},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMJ_2013_15_4_a7/}
}
TY - JOUR AU - M. Kh. Shkhanukov AU - M. M. Lafisheva AU - F. M. Nakhusheva AU - A. B. Mambetova TI - The locally-one-dimensional scheme for the equation of heat conductivity with the concentrated thermal capacity JO - Vladikavkazskij matematičeskij žurnal PY - 2013 SP - 58 EP - 64 VL - 15 IS - 4 UR - http://geodesic.mathdoc.fr/item/VMJ_2013_15_4_a7/ LA - ru ID - VMJ_2013_15_4_a7 ER -
%0 Journal Article %A M. Kh. Shkhanukov %A M. M. Lafisheva %A F. M. Nakhusheva %A A. B. Mambetova %T The locally-one-dimensional scheme for the equation of heat conductivity with the concentrated thermal capacity %J Vladikavkazskij matematičeskij žurnal %D 2013 %P 58-64 %V 15 %N 4 %U http://geodesic.mathdoc.fr/item/VMJ_2013_15_4_a7/ %G ru %F VMJ_2013_15_4_a7
M. Kh. Shkhanukov; M. M. Lafisheva; F. M. Nakhusheva; A. B. Mambetova. The locally-one-dimensional scheme for the equation of heat conductivity with the concentrated thermal capacity. Vladikavkazskij matematičeskij žurnal, Tome 15 (2013) no. 4, pp. 58-64. http://geodesic.mathdoc.fr/item/VMJ_2013_15_4_a7/
[1] Tikhonov A. N., Samarskii A. A., Uravneniya matematicheskoi fiziki, Nauka, M., 1996, 724 pp. | MR
[2] Samarskii A. A., “Ob odnoi zadache rasprostraneniya tepla”, Izbr. tr. A. A. Samarskogo, MAKS Press, M., 2003, 1–22 | MR
[3] Nerpin S. V., Chudnovskii A. F., Energo- i massoobmen v sisteme rastenie–pochva–vozdukh, Gidrometeoizdat, L., 1975, 358 pp.
[4] Samarskii A. A., Teoriya raznostnykh skhem, Nauka, M., 1973
[5] Samarskii A. A., Gulin A. V., Ustoichivost raznostnykh skhem, Nauka, M., 1973, 415 pp. | Zbl