LANDWEBER ITERATIVE METHOD FOR AN INVERSE SOURCE PROBLEM OF TIME-FRACTIONAL DIFFUSION-WAVE EQUATION ON SPHERICALLY SYMMETRIC DOMAIN

被引：23
|
作者：
Yang, Fan [1 ]
Wang, Ni [1 ]
Li, Xiao-Xiao [1 ]
机构：
[1] Lan Zhou Univ Technol, Sch Sci, Lanzhou 730050, Peoples R China
来源：
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2020年 / 10卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Time-fractional diffusion-wave equation; identifying the unknown source; Landweber iterative method; parameter choice rule; 2 REGULARIZATION METHODS; SPACE-DEPENDENT SOURCE; UNKNOWN SOURCE; IDENTIFY;
D O I：
10.11948/20180279
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, an inverse source problem of time-fractional diffusion-wave equation on spherically symmetric domain is considered. In general, this problem is ill-posed. Landweber iterative method is used to solve this inverse source problem. The error estimates between the regularization solution and the exact solution are derived by an a-priori and an a-posteriori regularization parameters choice rules. The numerical examples are presented to verify the efficiency and accuracy of the proposed methods.
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页码：514 / 529
页数：16
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