SOLUTION OF ONE PHASE INVERSE STEFAN PROBLEM BY IEF METHOD

A solution for Inverse Stefan Problem is represented in explicit analytic form. The developed method is based on use of Integral Error Functions and its properties which enables it to solve heat and mass transfer problems with domains that include moving boundaries. The method can be effectively used in the field of engineering, which requires consideration of phenomena with phase transformations, such as heat and mass transfer, low temperature plasma, filtration. The main idea of this method is to find coefficients of linear combination of Integral Error Functions which a priori satisfy the heat equation.