An iterative method for an inverse source problem of time-fractional diffusion equation

被引：10
|
作者：
Wang, Jun-Gang [1 ]
Ran, Yu-Hong [2 ]
机构：
[1] Northwestern Polytech Univ, Dept Appl Math, Xian, Shaanxi, Peoples R China
[2] Northwest Univ, Sch Math, Ctr Nonlinear Studies, Xian, Shaanxi, Peoples R China
来源：
INVERSE PROBLEMS IN SCIENCE AND ENGINEERING | 2018年 / 26卷 / 10期
基金：
中国国家自然科学基金;
关键词：
Inverse source problem; iteration method; fractional diffusion equation; convergence; parameter choice rule; SPACE-DEPENDENT SOURCE; SOURCE-TERM; IDENTIFY;
D O I：
10.1080/17415977.2017.1417406
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
We propose an iteration method to recover a space-dependent source for a time-fractional diffusion equation from the final measurement. Based on the conditional stability of the inverse problem, we prove the convergence of the iterative regularization method under the a priori parameter choice rule and the a posteriori parameter choice rule, respectively. Numerical examples in one dimension and two dimension are given to validate the effectiveness of the presented method.
引用
收藏
页码：1509 / 1521
页数：13
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