The revised generalized Tikhonov regularization for the inverse time-dependent heat source problem |
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Authors: | Fan Yang Chu-Li Fu |
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Institution: | 1. School of Science, Lanzhou University of Technology, Lanzhou, Gansu, 730050, People’s Republic of China 2. School of Mathematics and Statistics, Lanzhou University, Lanzhou, Gansu, 730000, People’s Republic of China
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Abstract: | This paper investigates the inverse problem of finding a time-dependent heat source in a parabolic equation where the data is given at a fixed location. A conditional stability result is given, and a revised generalized Tikhonov regularization method with error estimate is also provided. Numerical examples show that the regularization method is effective and stable. |
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