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

Kanagaraj, K.Reddy, G.D.George, S.2026-02-052020Journal of Applied Mathematics and Computing, 2020, 63, 46054, pp. 87-10515985865https://doi.org/10.1007/s12190-019-01309-3https://idr.nitk.ac.in/handle/123456789/23889Fractional 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.Computational methodsMathematical techniquesConvergence ratesDiscrepancy principleIll-posed equationsRegularization parametersTikhonov regularization methodParameterizationDiscrepancy principles for fractional Tikhonov regularization method leading to optimal convergence rates