Modelling (May 2024)

Parameter Choice Strategy That Computes Regularization Parameter before Computing the Regularized Solution

  • Santhosh George,
  • Jidesh Padikkal,
  • Ajil Kunnarath,
  • Ioannis K. Argyros,
  • Samundra Regmi

DOI
https://doi.org/10.3390/modelling5020028
Journal volume & issue
Vol. 5, no. 2
pp. 530 – 548

Abstract

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The modeling of many problems of practical interest leads to nonlinear ill-posed equations (for example, the parameter identification problem (see the Numerical section)). In this article, we introduce a new source condition (SC) and a new parameter choice strategy (PCS) for the Tikhonov regularization (TR) method for nonlinear ill-posed problems. The new PCS is introduced using a new SC to compute the regularization parameter (RP) before computing the regularized solution. The theoretical results are verified using a numerical example.

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