The correctness of an analytical solution to an inverse heat conduction problem
Abstract
By using the Laplace transform with respect to the spatial variable, analytical solutions are obtained for the boundary value inverse heat conduction problem formulated as the Cauchy problem for the exponential and polynomial approximation of the time dependence of temperature and its gradient at an internal point of a body. The correctness of a solution to the problem in terms of a class of polynomials is analyzed.
 Publication:

Inzhenerno Fizicheskii Zhurnal
 Pub Date:
 December 1985
 Bibcode:
 1985InFiZ..49.1015T
 Keywords:

 Analytic Functions;
 Cauchy Problem;
 Conductive Heat Transfer;
 Temperature Inversions;
 Laplace Transformation;
 Numerical Analysis;
 Plates (Structural Members);
 Polynomials;
 Temperature Gradients;
 Time Dependence;
 Fluid Mechanics and Heat Transfer