| Volume 9, Number 1, 2019, Pages 45-56 DOI：10.11948/2019.45 |
| The revised generalized Tikhonov method for the backward time-fractional diffusion equation |
| Arumugam Deiveegan,Juan J. Nieto,Periasamy Prakash |
| Keywords:Inverse problem, fractional diffusion equation, Tikhonov regularization, convergence analysis. |
| Abstract: |
| In this paper, we solve the backward problem for a time-fractional diffusion equation with variable coefficients in a bounded domain by using the revised generalized Tikhonov regularization method. Convergence estimates under an a-priori and a-posteriori regularization parameter choice rules are given. Numerical example shows that the proposed method is effective and stable. |
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