We present a meshless method to assess the inverse heat problem (IHP) on multi-dimensional (multi -D) by the correcting functions. Fulfillment of the scheme is a reformulation of the IHP equation as an operator equation subjected to the boundary condition. The solution of ill-conditioned IHP is expressed in the term of the trigonometric basis function (TBF) on the available boundary data which is corrupted with a small parameter in the noisy data. When the data contain noise or extra measured data, we try out the practical performance of the scheme with different values of parameters and illus...
