A Numerical-Analytical Approach to the Analysis of Non-Stationary Temperature Fields in Multiply-Connected Solids

A technique for the analysis of non-stationary temperature fields in multiply connected solids is presented. This technique rests upon the Laplace integral transformation along with the method of boundary-integral equations. The inversion for the Laplace transformation is performed by making use of the well-known general analytical-numerical Prudnikov’s formula, which has been efficiently adopted for solving non-stationary heat-conduction problems to achieve the solution within the controllable accuracy. On this basis, the temperature fields in solids with openings and multiply-connected plates with heat emission are analyzed.