Exact Analytical Solutions for a Nonstationary Linear Inverse Problem of Heat Conduction for Bodies of One-Dimensional Geometry with Boundary Conditions on One Surface, as Well as on Two Surfaces for a Plane Body, a Cold Cylinder and a Hollow Sphere, Obtained in a Closed Recurrent Form

Abstract

In this paper, exact analytical solutions for the non-stationary linear inverse heat conduction problem for bodies of one-dimensional geometry with boundary non-stationary conditions on one and two boundary surfaces are obtained in a closed recurrent form. The recurrent form of writing the solution of the non-stationary linear inverse heat conduction problem for bodies of one-dimensional geometry with boundary non-stationary temperature conditions on one and two boundary surfaces is a closed-form solution from unified positions, which is not always possible in an explicit form.