Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8253932 | Chaos, Solitons & Fractals | 2018 | 10 Pages |
Abstract
In this paper, we identify the unknown space-dependent source term in a time-fractional diffusion equation with variable coefficients in a bounded domain where additional data are consider at a fixed time. Using the generalized and revised generalized Tikhonov regularization methods, we construct regularized solutions. Convergence estimates for both methods under an a-priori and a-posteriori regularization parameter choice rules are given, respectively. Numerical example shows that the proposed methods are effective and stable.
Keywords
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Statistical and Nonlinear Physics
Authors
Yong-Ki Ma, P. Prakash, A. Deiveegan,