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

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. 2019, Korean Society for Informatics and Computational Applied Mathematics.