Geodesic
Implicit finite difference scheme for barotropic gas equations
Čebyševskij sbornik, Tome 18 (2017) no. 3, pp. 306-317

Voir la notice de l'article provenant de la source Math-Net.Ru

An implicit finite difference scheme approximated barotropic gas equations is proposed. This scheme ensures positivity of density compared to previous methods. Existence of a solution to this scheme is proved for any time and space mesh-steps, an iterative method for solving the system of nonlinear equations on each time step is proposed.
Keywords: difference scheme, iterative process, flow of an ideal (viscous) barotropic gas. 
@article{CHEB_2017_18_3_a17,
     author = {G. M. Kobel'kov and A. G. Sokolov},
     title = {Implicit finite difference scheme  for barotropic gas equations},
     journal = {\v{C}eby\v{s}evskij sbornik},
     pages = {306--317},
     publisher = {mathdoc},
     volume = {18},
     number = {3},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CHEB_2017_18_3_a17/}
}
TY  - JOUR
AU  - G. M. Kobel'kov
AU  - A. G. Sokolov
TI  - Implicit finite difference scheme  for barotropic gas equations
JO  - Čebyševskij sbornik
PY  - 2017
SP  - 306
EP  - 317
VL  - 18
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CHEB_2017_18_3_a17/
LA  - ru
ID  - CHEB_2017_18_3_a17
ER  - 
%0 Journal Article
%A G. M. Kobel'kov
%A A. G. Sokolov
%T Implicit finite difference scheme  for barotropic gas equations
%J Čebyševskij sbornik
%D 2017
%P 306-317
%V 18
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CHEB_2017_18_3_a17/
%G ru
%F CHEB_2017_18_3_a17
G. M. Kobel'kov; A. G. Sokolov. Implicit finite difference scheme  for barotropic gas equations. Čebyševskij sbornik, Tome 18 (2017) no. 3, pp. 306-317. http://geodesic.mathdoc.fr/item/CHEB_2017_18_3_a17/