The Truncation Regularization Method for Identifying the Initial Value on Non-Homogeneous Time-Fractional Diffusion-Wave Equations

doi:10.3390/math7111007

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	The Truncation Regularization Method for Identifying the Initial Value on Non-Homogeneous Time-Fractional Diffusion-Wave Equations
	Yang, Fan; Pu, Qu; Li, Xiao-Xiao; Li, Dun-Gang
	2019-11
发表期刊	MATHEMATICS
卷号	7 期号:11
摘要	In the essay, we consider an initial value question for a mixed initial-boundary value of time-fractional diffusion-wave equations. This matter is an ill-posed problem; the solution relies discontinuously on the measured information. The truncation regularization technique is used for restoring the initial value functions. The convergence estimations are given in a priori regularization parameter choice regulations and a posteriori regularization parameter choice regulations. Numerical examples are given to demonstrate this is effective and practicable.
关键词	time-fractional wave-diffusion equation identify initial value truncation regularization method ill-posed problem
DOI	10.3390/math7111007
收录类别	SCI ; SCIE
语种	英语
资助项目	National Natural Science Foundation of China[11561045]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000502288700004
出版者	MDPI
引用统计	被引频次：11[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	https://ir.lut.edu.cn/handle/2XXMBERH/64313
专题	理学院
通讯作者	Yang, Fan
作者单位	Lanzhou Univ Technol, Sch Sci, Dept Appl Math, Lanzhou 730050, Gansu, Peoples R China
第一作者单位	理学院
通讯作者单位	理学院
第一作者的第一单位	理学院
推荐引用方式 GB/T 7714	Yang, Fan,Pu, Qu,Li, Xiao-Xiao,et al. The Truncation Regularization Method for Identifying the Initial Value on Non-Homogeneous Time-Fractional Diffusion-Wave Equations[J]. MATHEMATICS,2019,7(11).
APA	Yang, Fan,Pu, Qu,Li, Xiao-Xiao,&Li, Dun-Gang.(2019).The Truncation Regularization Method for Identifying the Initial Value on Non-Homogeneous Time-Fractional Diffusion-Wave Equations.MATHEMATICS,7(11).
MLA	Yang, Fan,et al."The Truncation Regularization Method for Identifying the Initial Value on Non-Homogeneous Time-Fractional Diffusion-Wave Equations".MATHEMATICS 7.11(2019).