Generalized Tikhonov methods for an inverse source problem of the time-fractional diffusion equation

Yong-Ki Ma, P. Prakash and A. Deiveegan

Chaos, Solitons & Fractals, 2018, vol. 108, issue C, 39-48

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: Inverse problem; Fractional diffusion equation; Tikhonov regularization; Convergence analysis (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:108:y:2018:i:c:p:39-48

DOI: 10.1016/j.chaos.2018.01.003

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