Name
Title | ||
|---|---|---|
Identification of time-dependent convection coefficient in a time-fractional diffusion equation. |
Abstract | ||
|---|---|---|
In the present paper, we devote our effort to solve a nonlinear inverse problem for identifying a time-dependent convection coefficient in a time-fractional diffusion equation from the measured data at an interior point for one-dimensional case. We prove the existence, uniqueness and regularity of solution for the direct problem by using the fixed point theorem. The stability of inverse convection coefficient problem is obtained based on the regularity of solution for the direct problem and some generalized Gronwall’s inequalities. We use a modified optimal perturbation regularization algorithm to solve the inverse convection coefficient problem. Two numerical examples are provided to show the effectiveness of the proposed method. |
Year | DOI | Venue |
|---|---|---|
2019 | 10.1016/j.cam.2018.07.029 | Journal of Computational and Applied Mathematics |
Keywords | Field | DocType |
Fractional diffusion equation,Inverse problem,Convection coefficient,Modified optimal perturbation algorithm,Stability | Inverse,Uniqueness,Mathematical analysis,Heat transfer coefficient,Regularization (mathematics),Interior point method,Fixed-point theorem,Diffusion equation,Mathematics,Perturbation (astronomy) | Journal |
Volume | ISSN | Citations |
346 | 0377-0427 | 0 |
PageRank | References | Authors |
0.34 | 2 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Liangliang Sun | 1 | 6 | 3.66 |
| Xiongbin Yan | 2 | 0 | 0.68 |
| T. Wei | 3 | 87 | 18.96 |