Operational method for constructing Green’s functions for small times corresponding to the solution to the boundary value problems for transfer equations of parabolic type

Abstract

This article is dedicated to the expansion of mathematical tools used to solve the problems of thermodynamics, in particular, problems in the theory of thermal shock. The authors used the method of Green's functions, which allowed simplifying the solution of the relevant problems.

Keywords

• thermodynamics
• heat stroke
• the green's function
• heat conduction
• parabolic equation
• fourier series