中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
首页 机构 成果 学者
  
  1. CAS IR Grid
  2. 数学与系统科学研究院
  3. 中国科学院数学与系统科学研究院
  4. 计算数学与科学工程计算研究所
Finite Difference Method for Time-Space Fractional Advection-Diffusion Equations with Riesz Derivative

文献类型：期刊论文

作者Arshad, Sadia1,2; Baleanu, Dumitru3,4; Huang, Jianfei5; Al Qurashi, Maysaa Mohamed6; Tang, Yifa1,7; Zhao, Yue1,7
刊名ENTROPY
出版日期2018-05-01
卷号20期号:5页码:20
关键词fractional advection dispersion equation riesz derivative caputo derivative trapezoidal formula
ISSN号1099-4300
DOI10.3390/e20050321
英文摘要In this article, a numerical scheme is formulated and analysed to solve the time-space fractional advection-diffusion equation, where the Riesz derivative and the Caputo derivative are considered in spatial and temporal directions, respectively. The Riesz space derivative is approximated by the second-order fractional weighted and shifted Grunwald-Letnikov formula. Based on the equivalence between the fractional differential equation and the integral equation, we have transformed the fractional differential equation into an equivalent integral equation. Then, the integral is approximated by the trapezoidal formula. Further, the stability and convergence analysis are discussed rigorously. The resulting scheme is formally proved with the second order accuracy both in space and time. Numerical experiments are also presented to verify the theoretical analysis.
资助项目National Natural Science Foundation of China[11771438] ; National Natural Science Foundation of China[11701502] ; Scientific and Technological Research Council of Turkey (TUBITAK)[TBAG-117F473] ; Higher Education Commission of Pakistan (HEC) under NRPU ; "Research Center of the Center for Female Scientific and Medical Colleges", Deanship of Scientific Research, King Saud University
WOS研究方向Physics
语种英语
WOS记录号WOS:000435193100014
出版者MDPI
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/30526]  
专题计算数学与科学工程计算研究所
通讯作者Arshad, Sadia; Tang, Yifa
作者单位1.Chinese Acad Sci, State Key Lab Sci & Engn Comp LSEC, ICMSEC, Acad Math & Syst Sci, Beijing 100190, Peoples R China
2.COMSATS Inst Informat Technol, Lahore 54500, Pakistan
3.Cankaya Univ, Dept Math, TR-06530 Ankara, Turkey
4.Inst Space Sci, Magurele 077125, Romania
5.Yangzhou Univ, Coll Math Sci, Yangzhou 225002, Jiangsu, Peoples R China
6.King Saud Univ, Dept Math, POB 22452, Riyadh 11495, Saudi Arabia
7.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
推荐引用方式
GB/T 7714		 Arshad, Sadia,Baleanu, Dumitru,Huang, Jianfei,et al. Finite Difference Method for Time-Space Fractional Advection-Diffusion Equations with Riesz Derivative[J]. ENTROPY,2018,20(5):20.
APA Arshad, Sadia,Baleanu, Dumitru,Huang, Jianfei,Al Qurashi, Maysaa Mohamed,Tang, Yifa,&Zhao, Yue.(2018).Finite Difference Method for Time-Space Fractional Advection-Diffusion Equations with Riesz Derivative.ENTROPY,20(5),20.
MLA Arshad, Sadia,et al."Finite Difference Method for Time-Space Fractional Advection-Diffusion Equations with Riesz Derivative".ENTROPY 20.5(2018):20.

入库方式： OAI收割

来源：数学与系统科学研究院

浏览0
下载0
收藏0
其他版本

除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。