Geodesic
Difference schemes for moisture transport equation of Haller-Lykov with non-local condition
News of the Kabardin-Balkar scientific center of RAS, no. 3 (2012), pp. 7-16 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The aprioristic assessment for the solution of not local problem of moisture transport equation of Haller-Lykov in differential and difference interpretation has been obtained. The presented assessment for the solution of difference problem results in its convergence. Multidimensional variant of moisture transport equation of Haller-Lykov has been investigated, economic factorized scheme for the analyzed equation has been constructed in multidimensional case.
Keywords: equation of Haller-Lykov, aprioristic assessment, economic factorized scheme.
Mots-clés : convergence, multidimensional variant 
@article{IZKAB_2012_3_a0,
     author = {S. M. Arkhestova and M. H. Shhanukov-Lafishev},
     title = {Difference schemes for moisture transport equation of {Haller-Lykov} with non-local condition},
     journal = {News of the Kabardin-Balkar scientific center of RAS},
     pages = {7--16},
     year = {2012},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IZKAB_2012_3_a0/}
}
TY  - JOUR
AU  - S. M. Arkhestova
AU  - M. H. Shhanukov-Lafishev
TI  - Difference schemes for moisture transport equation of Haller-Lykov with non-local condition
JO  - News of the Kabardin-Balkar scientific center of RAS
PY  - 2012
SP  - 7
EP  - 16
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/IZKAB_2012_3_a0/
LA  - ru
ID  - IZKAB_2012_3_a0
ER  - 
%0 Journal Article
%A S. M. Arkhestova
%A M. H. Shhanukov-Lafishev
%T Difference schemes for moisture transport equation of Haller-Lykov with non-local condition
%J News of the Kabardin-Balkar scientific center of RAS
%D 2012
%P 7-16
%N 3
%U http://geodesic.mathdoc.fr/item/IZKAB_2012_3_a0/
%G ru
%F IZKAB_2012_3_a0
S. M. Arkhestova; M. H. Shhanukov-Lafishev. Difference schemes for moisture transport equation of Haller-Lykov with non-local condition. News of the Kabardin-Balkar scientific center of RAS, no. 3 (2012), pp. 7-16. http://geodesic.mathdoc.fr/item/IZKAB_2012_3_a0/

[1] A. F. Chudnovskii, Teplofizika pochv, Nauka, M., 1976

[2] V. Ya. Kulik, Issledovanie dvizheniya pochvennoi vlagi s tochki zreniya invariantnosti otnositelno nepreryvnykh grupp preobrazovanii, Sbornik sov obmena energiei i veschestvom v sisteme pochva rastenie - vozdukh>, Nauka, L., 1972

[3] A. A. Samarskii, Teoriya raznostnykh skhem, Nauka, M., 1977

[4] A. F. Chudnovskii, “Nekotorye korrektivy v postanovke i reshenii zadach teplo i vlagoperenosa v pochve”, Sbornik trudov po agrofizike, v. 23, Gidrometeoizdat, 1969

[5] O. A. Ladyzhenskaya, Kraevye zadachi matematicheskoi fiziki, Nauka, M., 1973 | MR

[6] V. B. Andreev, “O skhodimosti raznostnykh skhem, approksimiruyuschikh vtoruyu i tretyu kraevye zadachi dlya ellipticheskikh uravnenii”, Zhurnal vychisl. matem. i matem. fiz., 8:6 (1968), 1218–1231 | Zbl

[7] A. A. Samarskii, “Odnorodnye raznostnye skhemy na neravnomernykh setkakh dlya uravnenii parabolicheskogo tipa”, Zhurnal vychisl. matem. i matem. fiz., 3:2 (1963), 266–298