FRACTIONAL TIKHONOV REGULARIZATION METHOD FOR SIMULTANEOUS INVERSION OF THE SOURCE TERM AND INITIAL DATA IN A TIME-FRACTIONAL DIFFUSION EQUATION

doi:10.1216/rmj.2023.53.249

	FRACTIONAL TIKHONOV REGULARIZATION METHOD FOR SIMULTANEOUS INVERSION OF THE SOURCE TERM AND INITIAL DATA IN A TIME-FRACTIONAL DIFFUSION EQUATION
	Wen, Jin 1; Yue, Chong-Wang 1; Liu, Zhuan-Xia 1; Wang, Shi-Juan2,3
	2023-02
发表期刊	ROCKY MOUNTAIN JOURNAL OF MATHEMATICS
卷号	53 期号:1 页码:249-273
摘要	This paper is concerned with the problem of identifying the space-dependent source term and initial value simultaneously for a time-fractional diffusion equation. The inverse problem is ill-posed, and the idea of decoupling it into two operator equations is applied. In order to solve this inverse problem, a fractional Tikhonov regularization method is proposed. Furthermore, the corresponding convergence estimates are presented by using the a priori and a posteriori parameter choice rules. Several numerical examples compared with the classical Tikhonov regularization are constructed for verifying the accuracy and efficiency of the proposed method.
关键词	time-fractional diffusion equation simultaneous inversion fractional Tikhonov regularization a priori and a posteriori regularization parameters
DOI	10.1216/rmj.2023.53.249
收录类别	SCIE
ISSN	0035-7596
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000994147900016
出版者	ROCKY MT MATH CONSORTIUM
原始文献类型	Article
EISSN	1945-3795
引用统计	被引频次：1[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://ir.lzufe.edu.cn/handle/39EH0E1M/34549
专题	信息工程与人工智能学院
作者单位	1.Northwest Normal Univ, Dept Math, Lanzhou, Peoples R China; 2.Lanzhou Jiaotong Univ, Sch Traff & Transportat, Lanzhou, Peoples R China; 3.Lanzhou Univ Finance & Econ, Sch Informat Engn, Lanzhou, Peoples R China
推荐引用方式 GB/T 7714	Wen, Jin,Yue, Chong-Wang,Liu, Zhuan-Xia,et al. FRACTIONAL TIKHONOV REGULARIZATION METHOD FOR SIMULTANEOUS INVERSION OF THE SOURCE TERM AND INITIAL DATA IN A TIME-FRACTIONAL DIFFUSION EQUATION[J]. ROCKY MOUNTAIN JOURNAL OF MATHEMATICS,2023,53(1):249-273.
APA	Wen, Jin,Yue, Chong-Wang,Liu, Zhuan-Xia,&Wang, Shi-Juan.(2023).FRACTIONAL TIKHONOV REGULARIZATION METHOD FOR SIMULTANEOUS INVERSION OF THE SOURCE TERM AND INITIAL DATA IN A TIME-FRACTIONAL DIFFUSION EQUATION.ROCKY MOUNTAIN JOURNAL OF MATHEMATICS,53(1),249-273.
MLA	Wen, Jin,et al."FRACTIONAL TIKHONOV REGULARIZATION METHOD FOR SIMULTANEOUS INVERSION OF THE SOURCE TERM AND INITIAL DATA IN A TIME-FRACTIONAL DIFFUSION EQUATION".ROCKY MOUNTAIN JOURNAL OF MATHEMATICS 53.1(2023):249-273.