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.

引用

页码：514 / 529

页数：16

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