A monotone finite volume method for time fractional Fokker-Planck equations

doi:10.1007/s11425-017-9179-x

	A monotone finite volume method for time fractional Fokker-Planck equations
	Jiang, Yingjun 1; Xu, Xuejun2,3
	2019-04-01
发表期刊	SCIENCE CHINA-MATHEMATICS
ISSN	1674-7283
卷号	62 期号:4 页码:783-794
摘要	We develop a monotone finite volume method for the time fractional Fokker-Planck equations and theoretically prove its unconditional stability. We show that the convergence rate of this method is of order 1 in the space and if the space grid becomes suffciently fine, the convergence rate can be improved to order 2. Numerical results are given to support our theoretical findings. One characteristic of our method is that it has monotone property such that it keeps the nonnegativity of some physical variables such as density, concentration, etc.
关键词	time fractional Fokker-Planck equations finite volume methods monotone convergence
DOI	10.1007/s11425-017-9179-x
语种	英语
资助项目	National Natural Science Foundation of China[11571053] ; National Natural Science Foundation of China[11671302] ; National Natural Science Foundation of China[51239001] ; National Natural Science Foundation of China[91647118]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000462229600011
出版者	SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/34205
专题	计算数学与科学工程计算研究所
通讯作者	Jiang, Yingjun
作者单位	1.Changsha Univ Sci & Technol, Sch Math & Stat, Changsha 410114, Hunan, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100190, Peoples R China 3.Tongji Univ, Sch Math Sci, Shanghai 200092, Peoples R China
推荐引用方式 GB/T 7714	Jiang, Yingjun,Xu, Xuejun. A monotone finite volume method for time fractional Fokker-Planck equations[J]. SCIENCE CHINA-MATHEMATICS,2019,62(4):783-794.
APA	Jiang, Yingjun,&Xu, Xuejun.(2019).A monotone finite volume method for time fractional Fokker-Planck equations.SCIENCE CHINA-MATHEMATICS,62(4),783-794.
MLA	Jiang, Yingjun,et al."A monotone finite volume method for time fractional Fokker-Planck equations".SCIENCE CHINA-MATHEMATICS 62.4(2019):783-794.