Numerical solution of a two-dimensional IHCP based on Duhamel's principle

Abstract

In this paper, we will first study the existence and uniqueness of the solu- tion for a two-dimensional inverse heat conduction problem (IHCP). Furthermore, the estimate of an unknown boundary condition by a numerical algorithm in this IHCP based on Duhamel's principle, is the topic of this paper. The stability and accuracy of the scheme presented is evaluated by comparison with the Singular Value Decom- position method. Some numerical experiments confirm the utility of this algorithm as the results are in good agreement with the exact data.