Stability of Implicit Difference Scheme for Solving the Identification Problem of a Parabolic Equation
We consider the inverse problem of reconstructing the right side of a parabolic equation with an unknown time dependent source function. Numerical solution and well-posedness of this type problem with local boundary conditions considered previously by A.A. Samarskii, P.N. Vabishchevich and V.T. Borukhov. In this paper, we focus on studying the stability of the problem with nonlocal conditions. A stable algorithm for the approximate solution of the problem is presented.
KeywordsParabolic equations identification problem stability analysis implicit difference scheme
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