The Fractional Tikhonov Regularization Method to Identify the Initial Value of the Nonhomogeneous Time-Fractional Diffusion Equation on a Columnar Symmetrical Domain

doi:10.3390/sym14081633

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	The Fractional Tikhonov Regularization Method to Identify the Initial Value of the Nonhomogeneous Time-Fractional Diffusion Equation on a Columnar Symmetrical Domain
	Chen, Yong-Gang 1; Yang, Fan 2; Li, Xiao-Xiao 2; Li, Dun-Gang 2
刊名	SYMMETRY-BASEL
	2022-08-01
卷号	14 期号:8
关键词	time-fractional nonhomogeneous diffusion equation columnar symmetric domain ill-posed problem fractional Tikhonov method
DOI	10.3390/sym14081633
英文摘要	In this paper, the inverse problem for identifying the initial value of a time fractional nonhomogeneous diffusion equation in a columnar symmetric region is studied. This is an ill-posed problem, i.e., the solution does not depend continuously on the data. The fractional Tikhonov regularization method is applied to solve this problem and obtain the regularization solution. The error estimations between the regularization solution and the exact solution are also obtained under the priori and the posteriori regularization parameter choice rules, respectively. Some examples are given to show this method's effectiveness.
WOS研究方向	Science & Technology - Other Topics
语种	英语
出版者	MDPI
WOS记录号	WOS:000846688800001
内容类型	期刊论文
源URL	[http://ir.lut.edu.cn/handle/2XXMBERH/159821]
专题	理学院
作者单位	1.China Univ Petr, Sch Sci, Qingdao 266580, Peoples R China; 2.Lanzhou Univ Technol, Sch Sci, Lanzhou 730050, Peoples R China
推荐引用方式 GB/T 7714	Chen, Yong-Gang,Yang, Fan,Li, Xiao-Xiao,et al. The Fractional Tikhonov Regularization Method to Identify the Initial Value of the Nonhomogeneous Time-Fractional Diffusion Equation on a Columnar Symmetrical Domain[J]. SYMMETRY-BASEL,2022,14(8).
APA	Chen, Yong-Gang,Yang, Fan,Li, Xiao-Xiao,&Li, Dun-Gang.(2022).The Fractional Tikhonov Regularization Method to Identify the Initial Value of the Nonhomogeneous Time-Fractional Diffusion Equation on a Columnar Symmetrical Domain.SYMMETRY-BASEL,14(8).
MLA	Chen, Yong-Gang,et al."The Fractional Tikhonov Regularization Method to Identify the Initial Value of the Nonhomogeneous Time-Fractional Diffusion Equation on a Columnar Symmetrical Domain".SYMMETRY-BASEL 14.8(2022).