An apriori parameter choice strategy and a fifth order iterative scheme for Lavrentiev regularization method
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Date
2023
Authors
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Publisher
Institute for Ionics
Abstract
In 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.
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Keywords
Mathematical operators, Nonlinear equations, Numerical methods, Parameterization, Apriori, Apriori parameter choice strategy, Fifth order convergence, Ill-posed equations, Iterative schemes, Lavrentiev regularizations, New sources, Parameter choice, Regularization methods, Source conditions, Iterative methods
Citation
Journal of Applied Mathematics and Computing, 2023, 69, 1, pp. 1095-1115