A nonstationary iterated quasi-boundary value method for reconstructing the source term in a time-space fractional diffusion equation

被引：3

作者：

Zhang, Yun ^{[1
]}

Feng, Xiaoli ^{[1
]}

机构：

[1] Xidian Univ, Sch Math & Stat, Xian 710126, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2024年 / 440卷

基金：

中国国家自然科学基金;

关键词：

Time-space fractional diffusion equation; Inverse source problem; Nonstationary iterated quasi-boundary; value method; Convergence rates; INVERSE SOURCE PROBLEM; DEPENDENT SOURCE; ANOMALOUS TRANSPORT; UNKNOWN SOURCE; REGULARIZATION; BACKWARD; MODELS;

D O I：

10.1016/j.cam.2023.115612

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An inverse source problem of a time-space fractional diffusion equation is considered in this paper. Due to the ill-posedness of the inverse problem, we propose a novel nonstationary iterated quasi-boundary value regularization method for reconstructing the source function, and show that the regularization problem is well-posed. The convergence rates are established under a priori and a posterior choice rules of regularization parameters, respectively. A numerical scheme for solving the regularization problem in one-dimensional case is derived from a finite difference method. Moreover, various of numerical examples are performed to test the efficiency of our method.(c) 2023 Elsevier B.V. All rights reserved.

引用

页数：19

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