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.
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Acknowledgements
The work of Santhosh George and Jidesh P is supported by National Board of Higher Mathematics, India under the project grant No. 02011/17/2020/ NBHM(R.P), R &D II/8073. Mr. Saeed would like to thank National Institute of Technology Karnataka, India, for the financial support.
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George, S., Saeed, M., Argyros, I.K. et al. An apriori parameter choice strategy and a fifth order iterative scheme for Lavrentiev regularization method. J. Appl. Math. Comput. 69, 1095–1115 (2023). https://doi.org/10.1007/s12190-022-01782-3
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DOI: https://doi.org/10.1007/s12190-022-01782-3