Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4630573 | Applied Mathematics and Computation | 2011 | 10 Pages |
Abstract
In this paper, we consider an inverse problem for a time-fractional diffusion equation with one-dimensional semi-infinite domain. The temperature and heat flux are sought from a measured temperature history at a fixed location inside the body. We show that such problem is severely ill-posed and further apply a spectral regularization method to solve it based on the solution given by the Fourier method. Convergence estimates are presented under a priori bound assumptions for the exact solution. Finally, numerical examples are given to show that the proposed numerical method is effective.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
G.H. Zheng, T. Wei,