A CANONICAL SOLUTION FOR UNIDIMENSIONAL NON-LINEAR INVERSE PROBLEM OF HEAT CONDUCTION IN TRANSIENT STATE WITH MULTI-VARIABLES

A general numerical model to identify multi-variables of the unidimensional non-linear inverse problem of heat conduction in transient state is presented by a precise algorithm for direct heat conduction, based on Bregman distances in the construction of regularization terms in Tikhonov’s function. Combination of identifications can be carried out for non-linear source term, thermal diffusivity and boundary conditions etc. Satisfactory numerical results including a preliminary investigation of effect of noise data and initial value on the results are given as well.