APPLICATION OF THE FINITE- DIFFERENCE METHOD TO INVERSE HEAT CONDUCTION PROBLEM

This paper considers the problem of estimating an unknown boundary condition in a heat problem. Where a direct method is developed to estimate the boundary condition is heat problem. At the beginning of the study, finite difference methods are employed to discretize the problem domain and then a linear inverse model is constructed to identify the boundary condition. We also present numerical computations that verify the accuracy of approximathon.