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

doi:10.1007/s11425-017-9179-x

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

	A monotone finite volume method for time fractional Fokker-Planck equations
	Jiang, Yingjun 2; Xu, Xuejun1,3
刊名	SCIENCE CHINA-MATHEMATICS
	2019-04-01
卷号	62 期号:4 页码:783-794
关键词	time fractional Fokker-Planck equations finite volume methods monotone convergence
ISSN号	1674-7283
DOI	10.1007/s11425-017-9179-x
英文摘要	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.
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
语种	英语
出版者	SCIENCE PRESS
WOS记录号	WOS:000462229600011
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/34204]
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.Tongji Univ, Sch Math Sci, Shanghai 200092, Peoples R China 2.Changsha Univ Sci & Technol, Sch Math & Stat, Changsha 410114, Hunan, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100190, 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.