Matematičeskoe modelirovanie, Tome 12 (2000) no. 12, pp. 11-23
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P. K. Galenko; M. D. Krivilev. Finite-difference scheme for crystal pattern formation in undercooled binary alloys. Matematičeskoe modelirovanie, Tome 12 (2000) no. 12, pp. 11-23. http://geodesic.mathdoc.fr/item/MM_2000_12_12_a1/
@article{MM_2000_12_12_a1,
author = {P. K. Galenko and M. D. Krivilev},
title = {Finite-difference scheme for crystal pattern formation in undercooled binary alloys},
journal = {Matemati\v{c}eskoe modelirovanie},
pages = {11--23},
year = {2000},
volume = {12},
number = {12},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MM_2000_12_12_a1/}
}
TY - JOUR
AU - P. K. Galenko
AU - M. D. Krivilev
TI - Finite-difference scheme for crystal pattern formation in undercooled binary alloys
JO - Matematičeskoe modelirovanie
PY - 2000
SP - 11
EP - 23
VL - 12
IS - 12
UR - http://geodesic.mathdoc.fr/item/MM_2000_12_12_a1/
LA - ru
ID - MM_2000_12_12_a1
ER -
%0 Journal Article
%A P. K. Galenko
%A M. D. Krivilev
%T Finite-difference scheme for crystal pattern formation in undercooled binary alloys
%J Matematičeskoe modelirovanie
%D 2000
%P 11-23
%V 12
%N 12
%U http://geodesic.mathdoc.fr/item/MM_2000_12_12_a1/
%G ru
%F MM_2000_12_12_a1
A finite difference approximation of equations of a model is given which describes crystal pattern formation during solidification of a binary alloy. A stability of the obtained numerical scheme is investigated and the criterion of von Neumann for a computing stability is defined. A solution of the finite difference equations simulates crystal pattern formation of binary alloys in a wide range of supercoolings.
