TY - JFULL AU - Saeed Sarabadan and Kamal Rashedi PY - 2015/12/ TI - Recovering the Boundary Data in the Two Dimensional Inverse Heat Conduction Problem Using the Ritz-Galerkin Method T2 - International Journal of Mathematical and Computational Sciences SP - 702 EP - 706 VL - 9 SN - 1307-6892 UR - https://publications.waset.org/pdf/10004741 PU - World Academy of Science, Engineering and Technology NX - Open Science Index 107, 2015 N2 - This article presents a numerical method to find the heat flux in an inhomogeneous inverse heat conduction problem with linear boundary conditions and an extra specification at the terminal. The method is based upon applying the satisfier function along with the Ritz-Galerkin technique to reduce the approximate solution of the inverse problem to the solution of a system of algebraic equations. The instability of the problem is resolved by taking advantage of the Landweber’s iterations as an admissible regularization strategy. In computations, we find the stable and low-cost results which demonstrate the efficiency of the technique. ER -