A modified Tikhonov regularization for unknown source in space fractional diffusion equation

In this article, we consider the identification of an unknown steady source in a class of fractional diffusion equations. A modified Tikhonov regularization method based on Hermite expansion is presented to deal with the ill-posedness of the problem. By using the properties of Hermitian functions, w...

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Bibliographic Details
Main Authors: Yu Kai, Gong Benxue, Zhao Zhenyu
Format: Article
Language:English
Published: De Gruyter 2022-10-01
Series:Open Mathematics
Subjects:
Online Access:https://doi.org/10.1515/math-2022-0513