Name
Title | ||
|---|---|---|
Optimal error bound and simplified Tikhonov regularization method for a backward problem for the time-fractional diffusion equation. |
Abstract | ||
|---|---|---|
In this paper, we consider a backward problem for a time-fractional diffusion equation. Such a problem is ill-posed. The optimal error bound for the problem under a source condition is analyzed. A simplified Tikhonov regularization method is utilized to solve the problem, and its convergence rates are analyzed under an a priori regularization parameter choice rule and an a posteriori regularization parameter choice rule, respectively. Numerical examples show that the proposed regularization method is effective and stable, and both parameter choice rules work well. |
Year | DOI | Venue |
|---|---|---|
2015 | 10.1016/j.cam.2014.11.026 | J. Computational Applied Mathematics |
Keywords | Field | DocType |
inverse problem | Tikhonov regularization,Convergence (routing),Mathematical optimization,Well-posed problem,Mathematical analysis,Backus–Gilbert method,Regularization (mathematics),Inverse problem,Mathematics,Diffusion equation,Regularization perspectives on support vector machines | Journal |
Volume | Issue | ISSN |
279 | C | 0377-0427 |
Citations | PageRank | References |
0 | 0.34 | 3 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Jun-Gang Wang | 1 | 4 | 1.88 |
| T. Wei | 2 | 87 | 18.96 |
| Yubin Zhou | 3 | 29 | 5.13 |