Implementation of Sinc-Galerkin on Parabolic Inverse problem with unknown boundary ‎condition‎

The determination of an unknown boundary condition, in a nonlinaer inverse diffusion problem is considered. For solving these ill-posed inverse problems, Galerkin method based on Sinc basis functions for space and time will be used. To solve the system of linear equation, a noise is imposed and Tikhonove regularization is applied. By using a sensor located at a point in the domain of x, say x=a', and determining u(a',t) a stable solution will be achived. An illustrative example is provided to show the ability and the efficiency of this numerical ‎approach.‎

کلیدواژه ها:

Ill-posed inverse problems ، Sinc-Galerkin method ، Tikhonov regularization ، ‎U‎nkown boundary ‎condition