A Tikhonov-type method for solving a multidimensional inverse heat source problem in an unbounded domain |
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| Authors: | Xiangtuan Xiong Junxia Wang |
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| Affiliation: | Department of Mathematics, Northwest Normal University, Lanzhou, Gansu, 730070, People’s Republic of China |
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| Abstract: | ![]()
In this study we prove a stability estimate for an inverse heat source problem in the n-dimensional case. We present a revised generalized Tikhonov regularization and obtain an error estimate. Numerical experiments for the one-dimensional and two-dimensional cases show that the revised generalized Tikhonov regularization works well. |
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| Keywords: | Inverse problems Ill-posed problems Generalized Tikhonov regularization Stability estimate Error estimate |
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