Landweber Iterative Regularization Method for Identifying the Initial Value Problem of the Rayleigh-Stokes Equation

doi:10.3390/fractalfract5040193

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	Landweber Iterative Regularization Method for Identifying the Initial Value Problem of the Rayleigh-Stokes Equation
	Li, Dun-Gang; Fu, Jun-Liang; Yang, Fan; Li, Xiao-Xiao
刊名	FRACTAL AND FRACTIONAL
	2021-12-01
卷号	5 期号:4
关键词	Rayleigh-Stokes equation ill-posed problem identifying the initial value problem Landweber iterative regularization method
DOI	10.3390/fractalfract5040193
英文摘要	In this paper, we study an inverse problem to identify the initial value problem of the homogeneous Rayleigh-Stokes equation for a generalized second-grade fluid with the Riemann-Liouville fractional derivative model. This problem is ill posed; that is, the solution (if it exists) does not depend continuously on the data. We use the Landweber iterative regularization method to solve the inverse problem. Based on a conditional stability result, the convergent error estimates between the exact solution and the regularization solution by using an a priori regularization parameter choice rule and an a posteriori regularization parameter choice rule are given. Some numerical experiments are performed to illustrate the effectiveness and stability of this method.
WOS研究方向	Mathematics
语种	英语
出版者	MDPI
WOS记录号	WOS:000737178900001
内容类型	期刊论文
源URL	[http://ir.lut.edu.cn/handle/2XXMBERH/154967]
专题	理学院
作者单位	Lanzhou Univ Technol, Sch Sci, Lanzhou 730050, Peoples R China
推荐引用方式 GB/T 7714	Li, Dun-Gang,Fu, Jun-Liang,Yang, Fan,et al. Landweber Iterative Regularization Method for Identifying the Initial Value Problem of the Rayleigh-Stokes Equation[J]. FRACTAL AND FRACTIONAL,2021,5(4).
APA	Li, Dun-Gang,Fu, Jun-Liang,Yang, Fan,&Li, Xiao-Xiao.(2021).Landweber Iterative Regularization Method for Identifying the Initial Value Problem of the Rayleigh-Stokes Equation.FRACTAL AND FRACTIONAL,5(4).
MLA	Li, Dun-Gang,et al."Landweber Iterative Regularization Method for Identifying the Initial Value Problem of the Rayleigh-Stokes Equation".FRACTAL AND FRACTIONAL 5.4(2021).