Name
Abstract | ||
|---|---|---|
In this paper, we propose a conjugate gradient algorithm for identifying a space-dependent diffusion coefficient in a time-fractional diffusion equation from the boundary Cauchy data in one-dimensional case. The existence and uniqueness of the solution for a weak form of the direct problem are obtained. The identification of diffusion coefficient is formulated into a variational problem by the Tikhonov-type regularization. The existence, stability and convergence of a minimizer for the variational problem approach to the exact diffusion coefficient are provided. We use a conjugate gradient method to solve the variational problem based on the deductions of a sensitive problem and an adjoint problem. We test three numerical examples and show the effectiveness of the proposed method. |
Year | DOI | Venue |
|---|---|---|
2018 | 10.1016/j.matcom.2018.03.006 | Mathematics and Computers in Simulation |
Keywords | Field | DocType |
Inverse diffusion coefficient problem,Fractional diffusion equation,Conjugate gradient algorithm | Convergence (routing),Conjugate gradient method,Uniqueness,Mathematical analysis,Cauchy distribution,Regularization (mathematics),Diffusion equation,Mathematics,Fractional diffusion | Journal |
Volume | ISSN | Citations |
151 | 0378-4754 | 0 |
PageRank | References | Authors |
0.34 | 2 | 2 |