High-Order L-k Approximation for Subdiffusion (Dec, 2021)

doi:10.1007/s10915-022-01984-8

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	High-Order L-k Approximation for Subdiffusion (Dec, 2021)
	Shi, Jiankang 2; Chen, Minghua 2; Yan, Yubin 1; Cao, Jianxiong 3
刊名	JOURNAL OF SCIENTIFIC COMPUTING
	2022-10-01
卷号	93 期号:1
关键词	Subdiffusion L-k approximation Bose-Einstein integral Convergence analysis Nonsmooth data
ISSN号	0885-7474
DOI	10.1007/s10915-022-01984-8
英文摘要	The subdiffusion equations with a Caputo fractional derivative of order a is an element of (0, 1) arise in a wide variety of practical problems, which describe the transport processes, in the forcefree limit, slower than Brownian diffusion. In this work, we derive the correction schemes of the Lagrange interpolation with degree k (k <= 6) convolution quadrature, called L-k approximation, for the subdiffusion. The key step of designing correction algorithm is to calculate the explicit form of the coefficients of L-k approximation by the polylogarithm function or Bose-Einstein integral. To construct a tau(8) approximation of Bose-Einstein integral, the desired (k + 1- alpha)th-order convergence rate can be proved for the correction L-k scheme with nonsmooth data, which is higher than kth-order BDFk method in [Jin, Li, and Zhou, SIAM J. Sci. Comput., 39 (2017), A3129-A3152; Shi and Chen, J. Sci. Comput., (2020) 85:28]. The numerical experiments with spectral method are given to illustrate theoretical results.
WOS研究方向	Mathematics
语种	英语
出版者	SPRINGER/PLENUM PUBLISHERS
WOS记录号	WOS:000850828800002
内容类型	期刊论文
源URL	[http://ir.lut.edu.cn/handle/2XXMBERH/159841]
专题	理学院
作者单位	1.Univ Chester, Dept Phys Math & Engn, Fac Sci & Engn, Parkgate Rd, Chester CH1 4BJ, Cheshire, England; 2.Lanzhou Univ, Sch Math & Stat, Gansu Key Lab Appl Math & Complex Syst, Lanzhou 730000, Peoples R China; 3.Lanzhou Univ Technol, Sch Sci, Lanzhou 730000, Peoples R China
推荐引用方式 GB/T 7714	Shi, Jiankang,Chen, Minghua,Yan, Yubin,et al. High-Order L-k Approximation for Subdiffusion (Dec, 2021)[J]. JOURNAL OF SCIENTIFIC COMPUTING,2022,93(1).
APA	Shi, Jiankang,Chen, Minghua,Yan, Yubin,&Cao, Jianxiong.(2022).High-Order L-k Approximation for Subdiffusion (Dec, 2021).JOURNAL OF SCIENTIFIC COMPUTING,93(1).
MLA	Shi, Jiankang,et al."High-Order L-k Approximation for Subdiffusion (Dec, 2021)".JOURNAL OF SCIENTIFIC COMPUTING 93.1(2022).