Stationary iterated weighted Tikhonov regularization method for identifying an unknown source term of time-fractional radial heat equation

被引：2
|
作者：
Yang, Shuping [1 ]
Xiong, Xiangtuan [2 ]
Pan, Ping [1 ]
Sun, Yue [1 ]
机构：
[1] Shaanxi Univ Technol, Dept Math, Hanzhong, Peoples R China
[2] Northwest Normal Univ, Dept Math, Lanzhou, Peoples R China
来源：
NUMERICAL ALGORITHMS | 2022年 / 90卷 / 02期
关键词：
Inverse source problem; Stationary iterated weighted Tikhonov; Error estimate; INVERSE SOURCE PROBLEM; DIFFUSION EQUATION;
D O I：
10.1007/s11075-021-01213-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The ill-posed problem of unknown source identification in the time-fractional radial heat conduction equation is studied. In order to overcome the ill-posedness of the problem, a stationary iterated weighted Tikhonov regularization method is proposed. The a-priori and the a-posteriori choice rules for regularization parameters are discussed and the corresponding convergence rates of both are obtained. The stationary iterated weighted Tikhonov regularization method goes beyond the saturation results of weighted Tikhonov regularization method. A numerical example shows the effectiveness of this method.
引用
收藏
页码：881 / 903
页数：23
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