Solution of the two-phase Stefan problem by using the Picard's iterative method

Witula Roman, Hetmaniok Edyta, Slota Damian, Zielonka Adam
2011 Thermal Science  
In this paper, an application of the Picard's iterative method for finding the solution of two phase Stefan problem is presented. In the proposed method an iterative connection is formulated, which allows to determine the temperature distribution in considered domain. Another unknown function, describing position of the moving interface, is approximated with the aid of linear combination of some base functions. Coefficients of this combination are determined by minimizing a properly constructed
more » ... roperly constructed functional.
doi:10.2298/tsci11s1021w fatcat:ol4c46cfmbannpdkq65tds45ua