Finite dimensional realization of fractional Tikhonov regularization method in Hilbert scales

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dc.contributor.authorMekoth, C.
dc.contributor.authorGeorge, S.
dc.contributor.authorPadikkal, J.
dc.contributor.authorErappa, S.M.
dc.date.accessioned2026-02-04T12:28:00Z
dc.date.issued2022
dc.description.abstractOne of the intuitive restrictions of infinite dimensional Fractional Tikhonov Regularization Method (FTRM) for ill-posed operator equations is its numerical realization. This paper addresses the issue to a considerable extent by using its finite dimensional realization in the setting of Hilbert scales. Using adaptive parameter choice strategy, we choose the regularization parameter and obtain an optimal order error estimate. Also, the proposed method is applied to the well known examples in the setting of Hilbert scales. © 2021 The Author(s)
dc.identifier.citationPartial Differential Equations in Applied Mathematics, 2022, 5, , pp. -
dc.identifier.urihttps://doi.org/10.1016/j.padiff.2021.100246
dc.identifier.urihttps://idr.nitk.ac.in/handle/123456789/22557
dc.publisherElsevier B.V.
dc.subjectAdaptive parameter choice strategy
dc.subjectFinite dimensional Fractional Tikhonov regularization
dc.subjectHilbert scales
dc.subjectIll-posed problem
dc.titleFinite dimensional realization of fractional Tikhonov regularization method in Hilbert scales

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