Simultaneous determination of source term and the initial value in the space-fractional diffusion problem by a novel modified quasi-reversibility regularization method

doi:10.1088/1402-4896/acaa68

	Simultaneous determination of source term and the initial value in the space-fractional diffusion problem by a novel modified quasi-reversibility regularization method
	Wen, Jin 1; Ren, Xue-Juan 1,2; Wang, Shi-Juan3,4
	2023-02-01
发表期刊	Physica Scripta
卷号	98 期号:2
摘要	This paper deals with an inverse problem of determining source term and initial data simultaneously for a space-fractional diffusion equation in a strip domain, with the aid of extra measurement data at a fixed time. The uniqueness results are obtained by a simple trick based on the linear property of the proposed equation. Since this problem is ill-posed, a modified quasi-reversibility method is obtained by employing the Fourier transform. Error estimates for source term and initial value are obtained from a suitable parameter choice rule. Finally, several numerical examples show that the proposed regularization method is effective and stable. © 2023 IOP Publishing Ltd.
关键词	Diffusion Numerical methods Partial differential equations Error estimates Fractional diffusion equation Initial inverse problem Inverse source Modified quasi-reversibility regularization method Quasi-reversibility Regularization methods Simultaneous determinations Space-fractional diffusion equation Space-fractional diffusions
DOI	10.1088/1402-4896/acaa68
收录类别	EI ; SCIE
ISSN	0031-8949
语种	英语
WOS研究方向	Physics
WOS类目	Physics, Multidisciplinary
WOS记录号	WOS:000906842300001
出版者	Institute of Physics
EI入藏号	20230213372512
EI主题词	Inverse problems
EI分类号	921.2 Calculus ; 921.6 Numerical Methods
原始文献类型	Journal article (JA)
EISSN	1402-4896
引用统计	被引频次：4[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/33446
专题	信息工程与人工智能学院
作者单位	1.Department of Mathematics, Northwest Normal University, Lanzhou; 730070, China; 2.College of Information Engineering, Tarim University, Aral, Xinjiang; 843300, China; 3.School of Traffic and Transportation, Lanzhou Jiaotong University, Lanzhou; 730070, China; 4.School of Information Engineering, Lanzhou University of Finance and Economics, Lanzhou; 730020, China
推荐引用方式 GB/T 7714	Wen, Jin,Ren, Xue-Juan,Wang, Shi-Juan. Simultaneous determination of source term and the initial value in the space-fractional diffusion problem by a novel modified quasi-reversibility regularization method[J]. Physica Scripta,2023,98(2).
APA	Wen, Jin,Ren, Xue-Juan,&Wang, Shi-Juan.(2023).Simultaneous determination of source term and the initial value in the space-fractional diffusion problem by a novel modified quasi-reversibility regularization method.Physica Scripta,98(2).
MLA	Wen, Jin,et al."Simultaneous determination of source term and the initial value in the space-fractional diffusion problem by a novel modified quasi-reversibility regularization method".Physica Scripta 98.2(2023).