The use of linear approximation scheme for solving the Stefan problem
Applications of Mathematics (1997)
- Volume: 42, Issue: 1, page 35-56
- ISSN: 0862-7940
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topDzurenda, Peter. "The use of linear approximation scheme for solving the Stefan problem." Applications of Mathematics 42.1 (1997): 35-56. <http://eudml.org/doc/32966>.
@article{Dzurenda1997,
abstract = {This paper deals with the linear approximation scheme to approximate a singular parabolic problem: the two-phase Stefan problem on a domain consisting of two components with imperfect contact. The results of some numerical experiments and comparisons are presented. The method was used to determine the temperature of steel in the process of continuous casting.},
author = {Dzurenda, Peter},
journal = {Applications of Mathematics},
keywords = {heat equation; Stefan problem; phase change; Rothe method; moving boundary value problem; imperfect contact; solidification of steel; numerical example; moving boundary value problem; Stefan problem; heat equation; imperfect contact; Rothe's method; solidification of steel; numerical example},
language = {eng},
number = {1},
pages = {35-56},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {The use of linear approximation scheme for solving the Stefan problem},
url = {http://eudml.org/doc/32966},
volume = {42},
year = {1997},
}
TY - JOUR
AU - Dzurenda, Peter
TI - The use of linear approximation scheme for solving the Stefan problem
JO - Applications of Mathematics
PY - 1997
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 42
IS - 1
SP - 35
EP - 56
AB - This paper deals with the linear approximation scheme to approximate a singular parabolic problem: the two-phase Stefan problem on a domain consisting of two components with imperfect contact. The results of some numerical experiments and comparisons are presented. The method was used to determine the temperature of steel in the process of continuous casting.
LA - eng
KW - heat equation; Stefan problem; phase change; Rothe method; moving boundary value problem; imperfect contact; solidification of steel; numerical example; moving boundary value problem; Stefan problem; heat equation; imperfect contact; Rothe's method; solidification of steel; numerical example
UR - http://eudml.org/doc/32966
ER -
References
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