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.
引用
收藏
页数：18
相关论文
共 50 条
  • [31] A QUASI-REVERSIBILITY APPROACH TO SOLVE THE INVERSE OBSTACLE PROBLEM
    Bourgeois, Laurent
    Darde, Jeremi
    INVERSE PROBLEMS AND IMAGING, 2010, 4 (03) : 351 - 377
  • [32] An inverse source Cauchy-weighted time-fractional diffusion problem
    Atmania, Rahima
    Settara, Loubna
    HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2024, 53 (05): : 1354 - 1367
  • [33] FILTER REGULARIZATION FOR AN INVERSE SOURCE PROBLEM OF THE TIME-FRACTIONAL DIFFUSION EQUATION
    Shi, Wan-Xia
    Xiong, Xiang-Tuan
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2023, 13 (04): : 1702 - 1719
  • [34] Regularization methods for solving a time-fractional diffusion inverse source problem
    Wu, Hanghang
    Yang, Hongqi
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2025, 232 : 295 - 310
  • [35] An Inverse Source Problem with Sparsity Constraint for the Time-Fractional Diffusion Equation
    Ruan, Zhousheng
    Yang, Zhijian
    Lu, Xiliang
    ADVANCES IN APPLIED MATHEMATICS AND MECHANICS, 2016, 8 (01) : 1 - 18
  • [36] The quasi-reversibility regularization method for backward problem of the multi-term time-space fractional diffusion equation
    Wen, Jin
    Wang, Yong-Ping
    Wang, Yu-Xin
    Wang, Yong-Qin
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2024, 131
  • [37] An Inverse Source Problem For a Two Terms Time-fractional Diffusion Equation
    Dib, Fatima
    Kirane, Mokhtar
    BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2022, 40
  • [38] An inverse source problem for distributed order time-fractional diffusion equation
    Sun, Chunlong
    Liu, Jijun
    INVERSE PROBLEMS, 2020, 36 (05)
  • [39] An inverse coefficient-source problem for a time-fractional diffusion equation
    Settara, Loubna
    Atmania, Rahima
    INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS, 2018, 57 (03): : 68 - 78
  • [40] An inverse time-dependent source problem for a time-fractional diffusion equation
    Wei, T.
    Li, X. L.
    Li, Y. S.
    INVERSE PROBLEMS, 2016, 32 (08)
12345