A new iterated Tikhonov regularization method for Fredholm integral equation of first kind
Numerical Analysis
2025-12-30 v2 Numerical Analysis
Abstract
We consider Fredholm integral equation of the first kind, present an efficient new iterated Tikhonov method to solve it. The new Tikhonov iteration method has been proved which can achieve the optimal order under a-priori assumption. In numerical experiments, the new iterated Tikhonov regularization method is compared with the classical iterated Tikhonov method, Landweber iteration method to solve the corresponding discrete problem, which indicates the validity and efficiency of the proposed method.
Keywords
Cite
@article{arxiv.2504.00209,
title = {A new iterated Tikhonov regularization method for Fredholm integral equation of first kind},
author = {Xiaowei Pang and Jun Wang},
journal= {arXiv preprint arXiv:2504.00209},
year = {2025}
}