Landweber Iterative Method for an Inverse Source Problem of Time-Space Fractional Diffusion-Wave Equation

被引：0

作者：

Yang, Fan ^{[1
]}

Zhang, Yan ^{[1
]}

Li, Xiao-Xiao ^{[1
]}

机构：

[1] Lanzhou Univ Technol, Sch Sci, Lanzhou 730050, Gansu, Peoples R China

来源：

COMPUTATIONAL METHODS IN APPLIED MATHEMATICS | 2024年 / 24卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Inverse Source Problem; Time-Space Fractional Diffusion-Wave Equation; Landweber Iterative Regularization Method; Inverse Problem; Regularization Method; REGULARIZATION METHOD; UNKNOWN SOURCE; CAUCHY-PROBLEM;

D O I：

10.1515/cmam-2022-0240

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we apply a Landweber iterative regularization method to determine a space-dependent source for a time-space fractional diffusion-wave equation from the final measurement. In general, this problem is ill-posed, and a Landweber iterative regularization method is used to obtain the regularization solution. Under the a priori parameter choice rule and the a posteriori parameter choice rule, we give the error estimates between the regularization solution and the exact solution, respectively. Some numerical results in the one-dimensional and two-dimensional cases show the utility of the used regularization method.

引用

页码：265 / 278

页数：14

共 50 条

[1] Landweber iterative method for identifying the initial value problem of the time-space fractional diffusion-wave equation
Fan Yang
Yan Zhang
Xiao-Xiao Li
[J]. Numerical Algorithms, 2020, 83 : 1509 - 1530
[2] Landweber iterative method for identifying the initial value problem of the time-space fractional diffusion-wave equation
Yang, Fan
Zhang, Yan
Li, Xiao-Xiao
[J]. NUMERICAL ALGORITHMS, 2020, 83 (04) : 1509 - 1530
[3] LANDWEBER ITERATIVE METHOD FOR AN INVERSE SOURCE PROBLEM OF TIME-FRACTIONAL DIFFUSION-WAVE EQUATION ON SPHERICALLY SYMMETRIC DOMAIN
Yang, Fan
Wang, Ni
Li, Xiao-Xiao
[J]. JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2020, 10 (02): : 514 - 529
[4] The fractional Landweber method for identifying the space source term problem for time-space fractional diffusion equation
Fan Yang
Qu Pu
Xiao-Xiao Li
[J]. Numerical Algorithms, 2021, 87 : 1229 - 1255
[5] The fractional Landweber method for identifying the space source term problem for time-space fractional diffusion equation
Yang, Fan
Pu, Qu
Li, Xiao-Xiao
[J]. NUMERICAL ALGORITHMS, 2021, 87 (03) : 1229 - 1255
[6] Recovering space-dependent source for a time-space fractional diffusion wave equation by fractional Landweber method
Jiang, Su-Zhen
Wu, Yu-Jiang
[J]. INVERSE PROBLEMS IN SCIENCE AND ENGINEERING, 2021, 29 (07) : 990 - 1011
[7] INVERSE SOURCE CAUCHY PROBLEM FOR A TIME FRACTIONAL DIFFUSION-WAVE EQUATION WITH DISTRIBUTIONS
Lopushansky, Andrzej
Lopushanska, Halyna
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2017,
[8] Boundary stabilization for time-space fractional diffusion-wave equation
Huang, Jianping
Zhou, Hua-Cheng
[J]. 2021 9TH INTERNATIONAL CONFERENCE ON SYSTEMS AND CONTROL (ICSC'21), 2021, : 306 - 311
[9] The iterative generalized quasi-boundary value method for an inverse source problem of time fractional diffusion-wave equation in a cylinder
Shi, Chengxin
Cheng, Hao
Lyu, Kaiyu
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2024, 47 (04) : 2006 - 2029
[10] An inverse time-dependent source problem for a time-space fractional diffusion equation
Li, Y. S.
Wei, T.
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2018, 336 : 257 - 271

← 1 2 3 4 5 →