EXACT SOLUTION OF ONE PHASE STEFAN PROBLEM BY HEAT POLYNOMIALS AND INTEGRAL ERROR FUNCTIONS

摘要

Solution of one phase Stefan Problem with degenerate domain at the initial time represented analytically. The developed method is based on the use of Integral Error Functions and heat polynomials. Elaborated method can be effectively used in the fields of engineering, which require consideration of phenomena with phase transformations, such as heat and mass transfer, low temperature plasma, filtration. The main idea of the method is to find coefficients of linear combination of Integral Error Functions and heat polynomials which a priori satisfy the heat equation.