Projected Tikhonov regularization method for Fredholm integral equations of the first kind

被引：15

作者：

Neggal, Billel ^{[1
]}

Boussetila, Nadjib ^{[1
,2
]}

Rebbani, Faouzia ^{[1
]}

机构：

[1] Badji Maokhtar Univ Annaba, Appl Math Lab, POB 12, Annaba 23000, Annaba, Algeria

[2] Univ 8 Mai 1945 Guelma, Dept Math, POB 401, Guelma 24000, Guelma, Algeria

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2016年

关键词：

ill-posed problems; integral equation of the first kind; projected Tikhonov regularization method; LINEAR INVERSE PROBLEMS; NUMERICAL-SOLUTION; CONVERGENCE ANALYSIS; PARAMETER CHOICE; WAVELETS; SPACE;

D O I：

10.1186/s13660-016-1137-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider a variant of projected Tikhonov regularization method for solving Fredholm integral equations of the first kind. We give a theoretical analysis of this method in the Hilbert space L-2(a, b) setting and establish some convergence rates under certain regularity assumption on the exact solution and the kernel k(.,.). Some numerical results are also presented.

引用

页数：21

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