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The revised generalized Tikhonov method for the backward time-fractional diffusion equation
A. Deiveegan,J. J. Nieto,P. 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.