Tikhonov regularization method for identifying the space-dependent source for time-fractional diffusion equation on a columnar symmetric domain

Tikhonov regularization method for identifying the space-dependent source for time-fractional diffusion equation on a columnar symmetric domain

Abstract In this paper, we deal with the inverse problem of identifying the unknown source of time-fractional diffusion equation on a columnar symmetric domain. This problem is ill-posed. Firstly, we establish the conditional stability for this inverse problem. Then the regularization solution is ob...

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Bibliographic Details
Main Authors: Fan Yang, Pan Zhang, Xiao-Xiao Li, Xin-Yi Ma
Format: Article
Language:English
Published: SpringerOpen 2020-03-01
Series:Advances in Difference Equations
Subjects:
Time-fractional diffusion equation
Ill-posed problem
Regularization method
Error estimate
Online Access:http://link.springer.com/article/10.1186/s13662-020-2542-1

Internet

http://link.springer.com/article/10.1186/s13662-020-2542-1

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