Local error estimate of L1 scheme for linearized time fractional KdV equation with weakly singular solutions

doi:10.1016/j.apnum.2022.04.021

CORC > 数学与系统科学研究院 > 中国科学院数学与系统科学研究院 > 计算数学与科学工程计算研究所

	Local error estimate of L1 scheme for linearized time fractional KdV equation with weakly singular solutions
	Chen, Hu 4; Chen, Mengyi 3; Sun, Tao 2; Tang, Yifa 1,3
刊名	APPLIED NUMERICAL MATHEMATICS
	2022-09-01
卷号	179 页码:183-190
关键词	L1 scheme Time-fractional KdV equation Local error estimate Weakly singular solution
ISSN号	0168-9274
DOI	10.1016/j.apnum.2022.04.021
英文摘要	We consider the local error estimate of the L1 scheme on graded mesh for a linearized time fractional KdV equation with weakly singular solutions, where Legendre Petrov-Galerkin spectral method is used for the spatial discretization. Stability and convergence of the fully discrete scheme are rigorously established, and the pointwise-in-time error estimates are given to show that one can attain the optimal convergence order 2 - alpha in positive time by mildly choosing the grading parameter r no more than 2 for all 0 < alpha < 1. Numerical results are presented to show that the error estimate is sharp. (c) 2022 IMACS. Published by Elsevier B.V. All rights reserved.
资助项目	National Natural Science Foundation of China[11401380] ; National Natural Science Foundation of China[11801026] ; National Natural Science Foundation of China[12171141] ; National Natural Science Foundation of China[12171466] ; OUC Scientific Research Starting Fund of Introduced Talent
WOS研究方向	Mathematics
语种	英语
出版者	ELSEVIER
WOS记录号	WOS:000805840000001
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/61520]
专题	计算数学与科学工程计算研究所
通讯作者	Tang, Yifa
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, ICMSEC, Beijing 100190, Peoples R China 2.Shanghai Lixin Univ Accounting & Finance, Sch Stat & Math, Shanghai 201209, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 4.Ocean Univ China, Sch Math Sci, Qingdao 266100, Peoples R China
推荐引用方式 GB/T 7714	Chen, Hu,Chen, Mengyi,Sun, Tao,et al. Local error estimate of L1 scheme for linearized time fractional KdV equation with weakly singular solutions[J]. APPLIED NUMERICAL MATHEMATICS,2022,179:183-190.
APA	Chen, Hu,Chen, Mengyi,Sun, Tao,&Tang, Yifa.(2022).Local error estimate of L1 scheme for linearized time fractional KdV equation with weakly singular solutions.APPLIED NUMERICAL MATHEMATICS,179,183-190.
MLA	Chen, Hu,et al."Local error estimate of L1 scheme for linearized time fractional KdV equation with weakly singular solutions".APPLIED NUMERICAL MATHEMATICS 179(2022):183-190.