Sequential regularization solution of the inverse heat conduction problem

The Inverse Heat Conduction Problem (IHCP) is defined and a sequential regularization solution is presented. Although the algorithm is developed specifically for the first-order regularization procedure, it can be extended to any order. Example calculations are presented for both the whole domain and sequential methods; similar results can be obtained for both methods. The impact of random temperature errors is also investigated. The conclusion is that the sequential procedure is much more computationally efficient and yields nearly as accurate results as the whole domain procedure.