The quasi-boundary value regularization method for identifying the initial value with discrete random noise

doi:10.1186/s13661-018-1030-y

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	The quasi-boundary value regularization method for identifying the initial value with discrete random noise
	Yang, Fan; Zhang, Yan; Li, Xiao-Xiao; Huang, Can-Yun
刊名	BOUNDARY VALUE PROBLEMS
	2018-07-07
关键词	Time-fractional diffusion equation Quasi-boundary value regularization method Nonparametric regression Discrete random data
ISSN号	1687-2770
DOI	10.1186/s13661-018-1030-y
英文摘要	In this paper, we study an inverse initial value problem for the fractional diffusion equation with discrete noise. This problem is ill-posed in the sense of Hadamard. We apply the trigonometric method in a nonparametric regression associated with the quasi-boundary value regularization method to deal with this ill-posed problem. The corresponding convergence estimate for this method is obtained. The numerical results show that this regularization method is flexible and stable.
资助项目	National Natural Science Foundation of China[11561045][11501272]
WOS研究方向	Mathematics
语种	英语
出版者	SPRINGEROPEN
WOS记录号	WOS:000437760800001
状态	已发表
内容类型	期刊论文
源URL	[http://119.78.100.223/handle/2XXMBERH/32561]
专题	理学院
通讯作者	Yang, Fan
作者单位	Lanzhou Univ Technol, Sch Sci, Lanzhou, Gansu, Peoples R China
推荐引用方式 GB/T 7714	Yang, Fan,Zhang, Yan,Li, Xiao-Xiao,et al. The quasi-boundary value regularization method for identifying the initial value with discrete random noise[J]. BOUNDARY VALUE PROBLEMS,2018.
APA	Yang, Fan,Zhang, Yan,Li, Xiao-Xiao,&Huang, Can-Yun.(2018).The quasi-boundary value regularization method for identifying the initial value with discrete random noise.BOUNDARY VALUE PROBLEMS.
MLA	Yang, Fan,et al."The quasi-boundary value regularization method for identifying the initial value with discrete random noise".BOUNDARY VALUE PROBLEMS (2018).