DETERMINATION OF AN UNKNOWN DIFFUSION COEFFICIENT IN A PARABOLIC INVERSE PROBLEM

In this paper we studied the finite difference scheme for solution of one dimensional parabolic inverse problem finding function and unknown positive coefficient . The Backward time centered space (BTCS) which is unconditionally stable its convergent proved using application discrete maximum principle. Error estimates to give clear overview methodology several model problems are solved numerically. According experimental numerical results concluding remark presented