Name
Title | ||
|---|---|---|
Spectral regularization method for solving a time-fractional inverse diffusion problem |
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. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1016/j.amc.2011.05.076 | Applied Mathematics and Computation |
Keywords | Field | DocType |
Spectral regularization,Time-fractional inverse diffusion,Caputo’s fractional derivatives,Temperature,Heat flux,Fourier transform,Laplace transform | Convergence (routing),Inverse,Mathematical optimization,Laplace transform,Mathematical analysis,Fourier transform,Regularization (mathematics),Inverse problem,Numerical analysis,Diffusion equation,Mathematics | Journal |
Volume | Issue | ISSN |
218 | 2 | 0096-3003 |
Citations | PageRank | References |
4 | 0.55 | 4 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| G.H. Zheng | 1 | 4 | 0.55 |
| T. Wei | 2 | 87 | 18.96 |