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

文献类型：期刊论文

作者Jiang, Yingjun2; Xu, Xuejun1,3
刊名SCIENCE CHINA-MATHEMATICS
出版日期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
DOI10.1007/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
WOS记录号WOS:000462229600011
出版者SCIENCE PRESS
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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