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Fractional Tikhonov Regularization Method for a Time-Fractional Backward Heat Equation with a Fractional Laplacian

Fractional Tikhonov Regularization Method for a Time-Fractional Backward Heat Equation with a Fractional Laplacian
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Year:    2018

Author:    Jianlin Wang, Xiangtuan Xiong, Xiaoxiao Cao

Journal of Partial Differential Equations, Vol. 31 (2018), Iss. 4 : pp. 333–342

Abstract

In this paper, we consider a time-fractional backward problem with a fractional Laplacian. We propose a fractional Tikhonov regularization method for solving this problem under the the a-priori parameter choice rule. Error estimates are proved. Some numerical examples are shown to verify the effectiveness of the proposed method.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/jpde.v31.n4.4

Journal of Partial Differential Equations, Vol. 31 (2018), Iss. 4 : pp. 333–342

Published online:    2018-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    10

Keywords:    Inverse problem

Author Details

Jianlin Wang

Xiangtuan Xiong

Xiaoxiao Cao

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