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

被引：1

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 | 2025年 / 86卷 / 04期

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.

引用

页码：1158 / 1175

页数：18

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