An apriori parameter choice strategy and a fifth order iterative scheme for Lavrentiev regularization method

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dc.contributor.authorGeorge, S.
dc.contributor.authorSaeed, M.
dc.contributor.authorArgyros, I.K.
dc.contributor.authorPadikkal, J.
dc.date.accessioned2026-02-04T12:26:54Z
dc.date.issued2023
dc.description.abstractIn this paper, we propose a new source condition and introduce a new apriori parameter choice strategy for Lavrentiev regularization method for nonlinear ill-posed operator equation involving a monotone operator in the setting of a Hilbert space. Also, a fifth order iterative method is being proposed for approximately solving Lavrentiev regularized equation. A numerical example is illustrated to demonstrate the performance of the method. © 2022, The Author(s) under exclusive licence to Korean Society for Informatics and Computational Applied Mathematics.
dc.identifier.citationJournal of Applied Mathematics and Computing, 2023, 69, 1, pp. 1095-1115
dc.identifier.issn15985865
dc.identifier.urihttps://doi.org/10.1007/s12190-022-01782-3
dc.identifier.urihttps://idr.nitk.ac.in/handle/123456789/22054
dc.publisherInstitute for Ionics
dc.subjectMathematical operators
dc.subjectNonlinear equations
dc.subjectNumerical methods
dc.subjectParameterization
dc.subjectApriori
dc.subjectApriori parameter choice strategy
dc.subjectFifth order convergence
dc.subjectIll-posed equations
dc.subjectIterative schemes
dc.subjectLavrentiev regularizations
dc.subjectNew sources
dc.subjectParameter choice
dc.subjectRegularization methods
dc.subjectSource conditions
dc.subjectIterative methods
dc.titleAn apriori parameter choice strategy and a fifth order iterative scheme for Lavrentiev regularization method

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