Name
Title | ||
|---|---|---|
Identifying an unknown source in time-fractional diffusion equation by a truncation method |
Abstract | ||
|---|---|---|
In this paper, an inverse source problem for the time-fractional diffusion equation is investigated. We prove a conditional stability for this problem. A truncation method is presented to deal with the ill-posedness of the problem and error estimates are obtained with an a priori strategy and an a posteriori choice rule to find the regularization parameter. Numerical examples show that the proposed method is effective and stable. |
Year | DOI | Venue |
|---|---|---|
2013 | 10.1016/j.amc.2012.12.024 | Applied Mathematics and Computation |
Keywords | Field | DocType |
truncation method,unknown source,time-fractional diffusion equation,error estimate,inverse source problem,regularization parameter,numerical example,posteriori choice rule,conditional stability | Truncation error,Inverse source problem,Mathematical optimization,Mathematical analysis,A priori and a posteriori,Regularization (mathematics),Truncation error (numerical integration),Truncation method,Mathematics,Diffusion equation,Inverse scattering problem | Journal |
Volume | Issue | ISSN |
219 | 11 | 0096-3003 |
Citations | PageRank | References |
5 | 0.66 | 12 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Z. Q. Zhang | 1 | 5 | 1.34 |
| T. Wei | 2 | 87 | 18.96 |