@article{VMJ_2014_16_2_a0,
author = {A. K. Bazzaev},
title = {Locally one dimensional scheme of the {Dirichlet} boundary value problem for fractional diffusion equation with space {Caputo} fractional derivative},
journal = {Vladikavkazskij matemati\v{c}eskij \v{z}urnal},
pages = {3--13},
year = {2014},
volume = {16},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMJ_2014_16_2_a0/}
}
TY - JOUR AU - A. K. Bazzaev TI - Locally one dimensional scheme of the Dirichlet boundary value problem for fractional diffusion equation with space Caputo fractional derivative JO - Vladikavkazskij matematičeskij žurnal PY - 2014 SP - 3 EP - 13 VL - 16 IS - 2 UR - http://geodesic.mathdoc.fr/item/VMJ_2014_16_2_a0/ LA - ru ID - VMJ_2014_16_2_a0 ER -
%0 Journal Article %A A. K. Bazzaev %T Locally one dimensional scheme of the Dirichlet boundary value problem for fractional diffusion equation with space Caputo fractional derivative %J Vladikavkazskij matematičeskij žurnal %D 2014 %P 3-13 %V 16 %N 2 %U http://geodesic.mathdoc.fr/item/VMJ_2014_16_2_a0/ %G ru %F VMJ_2014_16_2_a0
A. K. Bazzaev. Locally one dimensional scheme of the Dirichlet boundary value problem for fractional diffusion equation with space Caputo fractional derivative. Vladikavkazskij matematičeskij žurnal, Tome 16 (2014) no. 2, pp. 3-13. http://geodesic.mathdoc.fr/item/VMJ_2014_16_2_a0/
[1] Tarasov V. E., Modeli teoreticheskoi fiziki s integro-differentsirovaniem drobnogo poryadka, Izhevskii institut kompyuternykh issledovanii, M.–Izhevsk, 2011, 568 pp.
[2] Nakhushev A. M., Uravneniya matematicheskoi biologii, Vysshaya shkola, M., 1995, 301 pp.
[3] Chukbar K. V., “Stokhasticheskii perenos i drobnye proizvodnye”, ZhETF, 108:5(11) (1995), 1875–1884
[4] Olemskii A. N., Flat A. Ya., “Ispolzovanie kontseptsii fraktala v fizike kondensirovannoi sredy”, Uspekhi fiz. nauk, 163:12 (1993), 1–50 | DOI
[5] Kobelev V. L., Kobelev Ya. L., Romanov E. P., “Nedebaevskaya relaksatsiya diffuziya vo fraktalnom prostranstve”, Dokl. RAN, 361:6 (1998), 755–758 | MR | Zbl
[6] Nigmatullin R. R., “Drobnyi integral i ego fizicheskaya interpretatsiya”, Teoreticheskaya i matem. fizika, 90:3 (1992), 354–368 | MR | Zbl
[7] Lafisheva M. M., Shkhanukov-Lafishev M. Kh., “Lokalno-odnomernaya skhema dlya uravneniya diffuzii drobnogo poryadka”, ZhVM i MF, 48:10 (2008), 1878–1887 | MR | Zbl
[8] Bazzaev A. K., Shkhanukov M. Kh., “Lokalno-odnomernaya skhema dlya uravneniya diffuzii drobnogo poryadka s kraevymi usloviyami III roda”, ZhVM i MF, 50:7 (2010), 1200–1208 | MR | Zbl
[9] Bazzaev A. K., “Tretya kraevaya zadacha dlya obobschennogo uravneniya parabolicheskogo tipa c drobnoi proizvodnoi po vremeni v mnogomernoi oblasti”, Vestn. VGU. Ser. Fizika. Matematika, 2010, no. 2, 5–14
[10] Samarskii A. A., Teoriya raznostnykh skhem, 3-e izd., ispr., Nauka, M., 1989, 616 pp. | MR
[11] Taukenova F. I., Shkhanukov-Lafishev M. Kh., “Raznostnye metody resheniya kraevykh zadach dlya differentsialnykh uravnenii drobnogo poryadka”, ZhVM i MF, 46:10 (2006), 1871–1881 | MR
[12] Samarskii A. A., Gulin A. V., Ustoichivost raznostnykh skhem, Nauka, M., 1973, 415 pp.