SOLUTION OF BOUNDARY PROBLEMS FOR THE HEAT CONDUCTIVITY EQUATION IN A LIMITED DOMAIN CONTAINING A MOVING BOUNDARY
A method of integral transformations for solving one dimensional boundary value problems for the heat equation in bounded domains containing a moving boundary of the phase transformation is developed. The obtained new integral representations of solutions to boundary value problems for the heat equation are convenient for calculating and studying temperature fields, as well as the velocity of the interfacial boundary for large values of the Fourier criterion.