Fourier regularization for a backward heat equation |
| |
| Authors: | Chu-Li Fu Xiang-Tuan Xiong Zhi Qian |
| |
| Institution: | School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, People's Republic of China |
| |
| 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. |
| |
| Keywords: | Backward heat equation Ill-posed problem Fourier regularization Error estimate |
| 本文献已被 ScienceDirect 等数据库收录！ |
