Discrepancy principles for fractional Tikhonov regularization method leading to optimal convergence rates

Kanagaraj, K and Reddy, G D and George, Santhosh (2019) Discrepancy principles for fractional Tikhonov regularization method leading to optimal convergence rates. Journal of Applied Mathematics and Computing. ISSN 1598-5865

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Abstract

Fractional Tikhonov regularization (FTR) method was studied in the last few years for approximately solving ill-posed problems. In this study we consider the Schock-type discrepancy principle for choosing the regularization parameter in FTR and obtained the order optimal convergence rate. Numerical examples are provided in this study.

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IITH Creators:
IITH CreatorsORCiD
Item Type: Article
Subjects: Physics > Mechanical and aerospace
Mathematics
Divisions: Department of Mechanical & Aerospace Engineering
Depositing User: Team Library
Date Deposited: 26 Dec 2019 04:05
Last Modified: 26 Dec 2019 04:05
URI: http://raiith.iith.ac.in/id/eprint/7253
Publisher URL: http://doi.org/10.1007/s12190-019-01309-3
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