Abstract: Taking Bregman D-Function as a regularization function, we present a general numerical model to identify the multi-variables, including thermal parameters and boundary conditions. A time stepping scheme is used for the transient analysis and a homotopy method is adopted to solve the process. Both the data with measurement errors and the initial value are used to indentify these parameters. The numerical validation exhibits good results.

Key words: regularization, homotopy method, precise algorithm, multi-variables, inverse problem