Ritz Approximation Method for Inverse Source Problem of Heat Equation
首发时间:2009-04-09
Abstract:In this paper, we consider an inverse source problem for one-dimensional heat equation, under the initial, boundary conditions and a over-specified condition given at the final time, from which the source function can be reconstructed. Due to the ill-posedness of the problem, we use Ritz-approximation method to overcome the instability. A Convergence result is given and several numerical examples are used to illustrate the efficiency of our method.
keywords: Ill-posed problem Inverse source Ritz-approximation Regularization
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