Landweber Iterative Regularization Method for Identifying Unknown Source for the Biharmonic Equation

被引：0
|
作者：
Fan Yang
Qian-Chao Wang
Xiao-Xiao Li
机构：
[1] Lanzhou University of Technology,School of Science
来源：
Iranian Journal of Science and Technology, Transactions A: Science | 2021年 / 45卷
关键词：
Biharmonic equation; Inverse problem; Identifying unkown source; Landweber iterative regularization method;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we study the inverse problem of identifying unknown sources for nonhomogeneous Biharmonic Equations in bounded domain. It shows that the problem is ill-posed. We use Landweber iterative regularization method to recover the ill-posed solution and give the convergence estimates under the priori and posteriori regularization parameter selection rules. Finally, several numerical examples are given to show the effectiveness and stability of this method.
引用
收藏
页码：2029 / 2040
页数：11
相关论文
共 50 条
  • [31] A fractional Landweber iterative regularization method for stable analytic continuation
    Yang, Fan
    Wang, Qianchao
    Li, Xiaoxiao
    [J]. AIMS MATHEMATICS, 2021, 6 (01): : 404 - 419
  • [32] A comparison of regularization methods for identifying unknown source problem for the modified Helmholtz equation
    Zhao, Jingjun
    Liu, Songshu
    Liu, Tao
    [J]. JOURNAL OF INVERSE AND ILL-POSED PROBLEMS, 2014, 22 (02): : 277 - 296
  • [33] Landweber iterative regularization method for an inverse initial value problem of diffusion equation with local and nonlocal operators
    Li, Yanhui
    Zhang, Hongwu
    [J]. APPLIED MATHEMATICS IN SCIENCE AND ENGINEERING, 2023, 31 (01):
  • [34] Fractional Landweber Iterative Regularization Method for Solving the Inverse Problem of Time-Fractional Schrodinger Equation
    Gao, Yinxia
    Li, Dungang
    Yang, Fan
    Li, Xiaoxiao
    [J]. SYMMETRY-BASEL, 2022, 14 (10):
  • [35] Identifying the Unknown Source in Linear Parabolic Equation by a Convoluting Equation Method
    Li, Zhenping
    Xiong, Xiangtuan
    Cheng, Qiang
    [J]. MATHEMATICS, 2022, 10 (13)
  • [36] Optimal error bound and generalized Tikhonov regularization for identifying an unknown source in the heat equation
    Ailin Qian
    Yan Li
    [J]. Journal of Mathematical Chemistry, 2011, 49 : 765 - 775
  • [37] Optimal error bound and generalized Tikhonov regularization for identifying an unknown source in the heat equation
    Qian, Ailin
    Li, Yan
    [J]. JOURNAL OF MATHEMATICAL CHEMISTRY, 2011, 49 (03) : 765 - 775
  • [38] Landweber iterative regularization for nearfield acoustic holography
    BI Chuanxing
    [J]. Science Bulletin, 2006, (11) : 1374 - 1380
  • [39] Landweber iterative regularization for nearfield acoustic holography
    Bi Chaunxing
    Chen Xinzhao
    Zhou Rong
    Chen Jian
    [J]. CHINESE SCIENCE BULLETIN, 2006, 51 (11): : 1374 - 1380
  • [40] Regularization of the fractional Rayleigh–Stokes equation using a fractional Landweber method
    Nguyen Hoang Luc
    Le Nhat Huynh
    Donal O’Regan
    Nguyen Huu Can
    [J]. Advances in Difference Equations, 2020
12345