The quasi-reversibility method for a final value problem of the time-fractional diffusion equation with inhomogeneous source

doi:10.1002/mma.4705

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	The quasi-reversibility method for a final value problem of the time-fractional diffusion equation with inhomogeneous source
	Yang, Fan; Ren, Yu-Peng; Li, Xiao-Xiao
刊名	MATHEMATICAL METHODS IN THE APPLIED SCIENCES
	2018-03-30
卷号	41 期号:5 页码:1774-1795
关键词	inhomogeneous source ill-posed problem regularization method time-fractional backward diffusion problem
ISSN号	0170-4214
DOI	10.1002/mma.4705
英文摘要	This paper is devoted to discuss a multidimensional backward heat conduction problem for time-fractional diffusion equation with inhomogeneous source. This problem is ill-posed. We use quasi-reversibility regularization method to solve this inverse problem. Moreover, the convergence estimates between regularization solution and the exact solution are obtained under the a priori and the a posteriori choice rules. Finally, the numerical examples for one-dimensional and two-dimensional cases are presented to show that our method is feasible and effective.
资助项目	National Natural Science Foundation of China[11561045]
WOS研究方向	Mathematics
语种	英语
出版者	WILEY
WOS记录号	WOS:000426736400004
状态	已发表
内容类型	期刊论文
源URL	[http://119.78.100.223/handle/2XXMBERH/32734]
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
推荐引用方式 GB/T 7714	Yang, Fan,Ren, Yu-Peng,Li, Xiao-Xiao. The quasi-reversibility method for a final value problem of the time-fractional diffusion equation with inhomogeneous source[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES,2018,41(5):1774-1795.
APA	Yang, Fan,Ren, Yu-Peng,&Li, Xiao-Xiao.(2018).The quasi-reversibility method for a final value problem of the time-fractional diffusion equation with inhomogeneous source.MATHEMATICAL METHODS IN THE APPLIED SCIENCES,41(5),1774-1795.
MLA	Yang, Fan,et al."The quasi-reversibility method for a final value problem of the time-fractional diffusion equation with inhomogeneous source".MATHEMATICAL METHODS IN THE APPLIED SCIENCES 41.5(2018):1774-1795.