Geodesic
Second order monotone difference schemes for quasilinear parabolic equation on non-uniform grids
Trudy Instituta matematiki, Tome 24 (2016) no. 1, pp. 51-60 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

In this article, monotone difference schemes of second order of local approximation for quasilinear parabolic equation of sufficiently general form are constructed on non-uniform spatial grids. With the help of difference maximum principle, two-sided estimate and a priori estimate in uniform norm $C$ for solution of difference schemes, approximated this equation, are obtained. 
@article{TIMB_2016_24_1_a7,
     author = {Le Minh Hieu},
     title = {Second order monotone difference schemes for quasilinear parabolic equation on non-uniform grids},
     journal = {Trudy Instituta matematiki},
     pages = {51--60},
     year = {2016},
     volume = {24},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TIMB_2016_24_1_a7/}
}
TY  - JOUR
AU  - Le Minh Hieu
TI  - Second order monotone difference schemes for quasilinear parabolic equation on non-uniform grids
JO  - Trudy Instituta matematiki
PY  - 2016
SP  - 51
EP  - 60
VL  - 24
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TIMB_2016_24_1_a7/
LA  - ru
ID  - TIMB_2016_24_1_a7
ER  - 
%0 Journal Article
%A Le Minh Hieu
%T Second order monotone difference schemes for quasilinear parabolic equation on non-uniform grids
%J Trudy Instituta matematiki
%D 2016
%P 51-60
%V 24
%N 1
%U http://geodesic.mathdoc.fr/item/TIMB_2016_24_1_a7/
%G ru
%F TIMB_2016_24_1_a7
Le Minh Hieu. Second order monotone difference schemes for quasilinear parabolic equation on non-uniform grids. Trudy Instituta matematiki, Tome 24 (2016) no. 1, pp. 51-60. http://geodesic.mathdoc.fr/item/TIMB_2016_24_1_a7/

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

[2] Samarskii A. A., Gulin A. V., Chislennye metody, Nauka, M., 1989

[3] Fridman A., Uravneniya s chastnymi proizvodnymi parabolicheskogo tipa, Mir, M., 1968

[4] Matus P. P., Vo Tkhi Kim Tuen, Gaspar F., “Monotonnye raznostnye skhemy dlya lineinogo parabolicheskogo uravneniya s granichnymi usloviyami smeshannogo tipa”, Dokl. NAN Belarusi, 58:5 (2014), 18–22 | Zbl

[5] Samarskii A. A., Mazhukin V. I., Malafei D. A., Matus P. P., “Raznostnye skhemy na neravnomernykh setkakh dlya uravnenii matematicheskoi fiziki s peremennymi koeffitsientami”, Zhurn. vychislit. matematiki i mat. fiziki, 41:3 (2001), 407–419 | Zbl

[6] Malafei D. A., “Ekonomichnye monotonnye raznostnye skhemy dlya mnogomernykh zadach konvetsii-diffuzii na neravnamernykh setkakh”, Dokl. NAN Belarusi, 44:4 (2000), 21–25

[7] Matus P. P., Khieu L. M., Volkov L. G., “Printsip maksimuma dlya raznostnykh skhem s nepostoyannymi vkhodnymi dannymi”, Dokl. NAN Belarusi, 59:5 (2015), 13–17