Author： Mazhorova O. Popov Yu. Shcheritsa O.
Publisher： MAIK Nauka/Interperiodica
ISSN： 0012-2661
Source： Differential Equations, Vol.49, Iss.7, 2013-07, pp. : 869-882
Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.
Abstract
We suggest further development of the principle of conservation for problems with moving boundaries. Using the problem of phase transitions in binary compounds as an example, we demonstrate a technique for constructing divergence and nondivergence finite difference schemes guaranteeing that the energy and mass conservation laws hold in the discrete model. In a class of front tracking methods, we prove the equivalence of the approach based on the use of moving grids with that based on a dynamic change of variables which permits one to solve the problem on a fixed grid.
Related content
Access to resources
Recommend
Quasistationary Approximation for the Stefan Problem
By Frolova E.
Journal of Mathematical Sciences, Vol. 132, Iss. 4, 2006-01 ,pp. :
Existence of analytic solutions for the classical Stefan problem
By Prüss Jan
Mathematische Annalen, Vol. 338, Iss. 3, 2007-07 ,pp. :