Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4625622 | Applied Mathematics and Computation | 2016 | 10 Pages |
Abstract
In this paper, we study a non-characteristic Cauchy problem for a radially symmetric inverse heat conduction equation in a two-layer domain. This is a severely ill-posed problem in the sense that the solution (if it exists) does not depend continuously on the data. It is well-known that the classical Tikhonov regularization solutions are too smooth and the approximate solutions may lack details that might be contained in the exact solutions. Combining Fourier transform technique with a modified version of the classical Tikhonov regularization, we obtain a regularized solution which is stably convergent to the exact solution with a sharp error estimate.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Xiangtuan Xiong, Xiaoxiao Cao, Shumei He, Jin Wen,