Effective Numerical Solution to the Problem of Temperature Oscillations in an Isolated Heat Accumulator

This paper presents a formulation and solution to the problem of steady temperature fluctuations in an isolated heat accumulator. An effective numerical solution to the problem is presented using the finite difference method with an uneven grid, approximation of the differential equation of thermal conductivity according to the scheme with weights with second order of accuracy, both in coordinate and in time, direct reduced Gauss method for solving a system of linear equations, and expansion in a Fourier series to obtain the amplitude and phase of temperature oscillations. The results of numerical simulation are obtained and presented. The results are compared with the analytical solution to the semi-bounded problem of the propagation of temperature oscillations from a flat surface.