Computational identification of the boundary condition in the heat transfer problems

The inverse boundary-value problems of heat transfer are of great practical importance, and the work of many authors is devoted to the numerical methods of their solution. We consider a direct method for solving inverse boundary-value problems for a one-dimensional parabolic equation that decomposes a finite-difference analogue of the problem at each time layer. With the help of the proposed numerical solution, we solve the inverse boundary-value problems with a fixed boundary, with a moving boundary, and the Stefan problem. The results of numerical calculations are discussed.