Application of generalized Bers degrees, the matrix method, and the Fourier method for solving the nonstationary heat equation in a multilayer medium

In this paper, we present an analytical method for solving the nonstationary heat equation in a multilayer medium without internal sources based on generalized Bers degrees, the matrix method, and the Fourier method. We propose an algorithm for solving this problem for various geometries of a multilayer medium (plane layers and layers with axial and central symmetry). Using this algorithm, we give examples for three-layer plane and axisymmetric structures.