Fourier regularization for a backward heat equation |
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| Authors: | Chu-Li Fu Xiang-Tuan Xiong Zhi Qian |
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| Affiliation: | School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, People's Republic of China |
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| Abstract: | ![]()
In this paper a simple and convenient new regularization method for solving backward heat equation—Fourier regularization method is given. Meanwhile, some quite sharp error estimates between the approximate solution and exact solution are provided. A numerical example also shows that the method works effectively. |
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| Keywords: | Backward heat equation Ill-posed problem Fourier regularization Error estimate |
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