Matematičeskoe modelirovanie, Tome 12 (2000) no. 4, pp. 105-116
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V. M. Goloviznin; S. A. Karabasov; D. A. Sykhodulov. A variation approach to the construction of finite-difference scheme with space-split time derivative for the Korteweg-de Vries equation. Matematičeskoe modelirovanie, Tome 12 (2000) no. 4, pp. 105-116. http://geodesic.mathdoc.fr/item/MM_2000_12_4_a7/
@article{MM_2000_12_4_a7,
author = {V. M. Goloviznin and S. A. Karabasov and D. A. Sykhodulov},
title = {A~variation approach to the construction of finite-difference scheme with space-split time derivative for the {Korteweg-de~Vries} equation},
journal = {Matemati\v{c}eskoe modelirovanie},
pages = {105--116},
year = {2000},
volume = {12},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MM_2000_12_4_a7/}
}
TY - JOUR
AU - V. M. Goloviznin
AU - S. A. Karabasov
AU - D. A. Sykhodulov
TI - A variation approach to the construction of finite-difference scheme with space-split time derivative for the Korteweg-de Vries equation
JO - Matematičeskoe modelirovanie
PY - 2000
SP - 105
EP - 116
VL - 12
IS - 4
UR - http://geodesic.mathdoc.fr/item/MM_2000_12_4_a7/
LA - ru
ID - MM_2000_12_4_a7
ER -
%0 Journal Article
%A V. M. Goloviznin
%A S. A. Karabasov
%A D. A. Sykhodulov
%T A variation approach to the construction of finite-difference scheme with space-split time derivative for the Korteweg-de Vries equation
%J Matematičeskoe modelirovanie
%D 2000
%P 105-116
%V 12
%N 4
%U http://geodesic.mathdoc.fr/item/MM_2000_12_4_a7/
%G ru
%F MM_2000_12_4_a7
The paper presents a variation approach to the construction of finite-difference schemes with space split time derivative (“Cabaret”) for the Korteweg-de Vries (KDV) equation. The test results under different initial distributions are demonstrated. In particular, it is shown that “Cabaret” enjoys the advantage of accurate solution propagation on non-uniform grids over the classical three-layer central differencing (“Cross”).
