An efficient iterative quasi-reversibility method for the inverse source problem of time-fractional diffusion equations

被引：0
|
作者：
Wen, Jin [1 ,3 ]
Liu, Yun-Long [1 ]
O'Regan, Donal [2 ]
机构：
[1] Northwest Normal Univ, Dept Math, Lanzhou, Peoples R China
[2] Univ Galway, Sch Math & Stat Sci, Galway, Ireland
[3] Northwest Normal Univ, Dept Math, Lanzhou 730070, Peoples R China
来源：
NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS | 2024年
关键词：
Error estimate; inverse source problem; iterative quasi-reversibility; Morozov's discrepancy principle; SPACE-DEPENDENT SOURCE; REGULARIZATION METHOD; ANOMALOUS TRANSPORT; SOURCE-TERM; UNIQUENESS;
D O I：
10.1080/10407790.2024.2306264
中图分类号：
O414.1 [热力学];
学科分类号：
摘要：
This paper is devoted to recovering the source term for a time-fractional diffusion equation from additional temperature data at fixed time t=1. We discuss a uniqueness result of the direct problem and the ill-posedness of the inverse problem, and then apply the iterative quasi-reversibility regularization method to solve the inverse problem. Finally, some one-dimensional and two-dimensional numerical examples are given to verify the effectiveness and feasibility of the proposed method.
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页数：18
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