NUMERICAL STUDY OF THE STABILITY OF THE ALGORITHM FOR IDENTIFYING THE THERMAL CONDUCTIVITY COEFFICIENT IN THE THREE-DIMENSIONAL CASE
The problem of identification the temperature dependent thermal conductivity of a substance on temperature in the three-dimensional case is considered. The algorithm for solving the problem is based on the application of the Fast Automatic Differentiation technique. A numerical stability analysis of the obtained solutions is carried out. It is shown that the perturbation of the restored thermal conductivity coefficient is of the same order as the perturbation of the experimental data that caused it.