## THERMAL SCIENCE

International Scientific Journal

### A CERTAIN ANALYTICAL METHOD USED FOR SOLVING THE STEFAN PROBLEM

**ABSTRACT**

The paper presents an analytic method applied for finding the approximate solution of Stefan problem reduced to the one-phase solidification problem of a plate with the unknown a priori, varying in time boundary of the region in which the solution is sought. Proposed method is based on the known formalism of initial extension of a sought function describing the field of temperature into the power series, some coefficients of which can be determined with the aid of boundary conditions, and on the approximation of a function defining the freezing front location with the broken line, parameters of which can be obtained by solving the appropriate differential equations. Results received by applying the proposed procedure will be compared with the results obtained with the aid of a classical numerical method served for solving the Stefan problem.

**KEYWORDS**

PAPER SUBMITTED: 2012-08-26

PAPER REVISED: 2013-01-30

PAPER ACCEPTED: 2013-04-24

PUBLISHED ONLINE: 2013-06-01

**THERMAL SCIENCE** YEAR

**2013**, VOLUME

**17**, ISSUE

**3**, PAGES [635 - 642]

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