Landweber iterative method for identifying the initial value problem of the time-space fractional diffusion-wave equation

doi:10.1007/s11075-019-00734-6

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	Landweber iterative method for identifying the initial value problem of the time-space fractional diffusion-wave equation
	Yang, Fan; Zhang, Yan; Li, Xiao-Xiao
	2020-04
发表期刊	NUMERICAL ALGORITHMS
ISSN	1017-1398
卷号	83 期号:4 页码:1509-1530
摘要	This paper considers the inverse problem for identifying the initial value problem of a space-time fractional diffusion wave equation. In general, this problem is ill-posed and the Landweber iterative regularization method is used to solve this problem. The error estimates between the exact solution and the regularized solution are given under the a priori parameter choice rule and the a posteriori parameter choice rule, respectively. In order to verify the validity and stability of the used method, numerical examples of two different dimensional cases with experimental data are performed.
关键词	Initial value problem Time-space fractional diffusion-wave equation Landweber iterative regularization method Error estimate
DOI	10.1007/s11075-019-00734-6
收录类别	SCI ; SCIE
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000527950300011
出版者	SPRINGER
来源库	WOS
引用统计	被引频次：46[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	https://ir.lut.edu.cn/handle/2XXMBERH/64289
专题	理学院
通讯作者	Yang, Fan
作者单位	Lanzhou Univ Technol, Sch Sci, Lanzhou 730050, Gansu, Peoples R China
第一作者单位	理学院
通讯作者单位	理学院
第一作者的第一单位	理学院
推荐引用方式 GB/T 7714	Yang, Fan,Zhang, Yan,Li, Xiao-Xiao. Landweber iterative method for identifying the initial value problem of the time-space fractional diffusion-wave equation[J]. NUMERICAL ALGORITHMS,2020,83(4):1509-1530.
APA	Yang, Fan,Zhang, Yan,&Li, Xiao-Xiao.(2020).Landweber iterative method for identifying the initial value problem of the time-space fractional diffusion-wave equation.NUMERICAL ALGORITHMS,83(4),1509-1530.
MLA	Yang, Fan,et al."Landweber iterative method for identifying the initial value problem of the time-space fractional diffusion-wave equation".NUMERICAL ALGORITHMS 83.4(2020):1509-1530.