KMS Of Academy of mathematics and systems sciences, CAS
A monotone finite volume method for time fractional Fokker-Planck equations | |
Jiang, Yingjun1; 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. |
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