摘要
This article is devoted to a Lagrange principle application to an inverse problem of a two-dimensional integral equation of the first kind with a positive kernel. To tackle the ill-posedness of this problem, a new numerical method is developed. The optimal and regularization properties of this method are proved. Moreover, a pseudo-optimal error of the proposed method is considered. The efficiency and applicability of this method are demonstrated in a numerical example of an image deblurring problem with noisy data.
| 源语言 | 英语 |
|---|---|
| 页（从-至） | 811-831 |
| 页数 | 21 |
| 期刊 | Inverse Problems in Science and Engineering |
| 卷 | 24 |
| 期 | 5 |
| DOI | |
| 出版状态 | 已出版 - 12 6月 2016 |
| 已对外发布 | 是 |
指纹
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Zhang, Y., Lukyanenko, D. V., & Yagola, A. G. (2016). Using Lagrange principle for solving two-dimensional integral equation with a positive kernel. Inverse Problems in Science and Engineering, 24(5), 811-831. https://doi.org/10.1080/17415977.2015.1077445