An inverse problem for fractional diffusion equation in 2-dimensional case : Stability analysis and regularization
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 185-199 |
| Journal / Publication | Journal of Mathematical Analysis and Applications |
| Volume | 393 |
| Issue number | 1 |
| Publication status | Published - 1 Sept 2012 |
Link(s)
Abstract
In this paper we investigate an inverse problem for a time-fractional diffusion equation which is highly ill-posed in the two-dimensional setting. Based on an a priori assumption, we give a conditional stability result. Some new regularization methods are constructed for solving the inverse problem and the corresponding error estimates are proved. For numerical illustration, several examples are constructed to demonstrate the feasibility and efficiency of the proposed methods. © 2012 Elsevier Ltd.
Research Area(s)
- Ill-posedness, Numerical approximation, Regularization, Stability estimate, Time-fractional diffusion equation
Citation Format(s)
An inverse problem for fractional diffusion equation in 2-dimensional case: Stability analysis and regularization. / Xiong, Xiangtuan; Zhou, Qian; Hon, Y. C.
In: Journal of Mathematical Analysis and Applications, Vol. 393, No. 1, 01.09.2012, p. 185-199.
In: Journal of Mathematical Analysis and Applications, Vol. 393, No. 1, 01.09.2012, p. 185-199.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
