Trapezoidal scheme for time-space fractional diffusion equation with Riesz derivative
文献类型：期刊论文
| 作者 | Arshad, Sadia1,6; Huang, Jianfei2; Khaliq, Abdul Q. M.3,4; Tang, Yifa1,5
|
| 刊名 | JOURNAL OF COMPUTATIONAL PHYSICS
 |
| 出版日期 | 2017-12-01 |
| 卷号 | 350页码:1-15 |
| 关键词 | Fractional diffusion equation Caputo derivative Riesz derivative Trapezoidal rule |
| ISSN号 | 0021-9991 |
| DOI | 10.1016/j.jcp.2017.08.038 |
| 英文摘要 | In this paper, a finite difference scheme is proposed to solve time-space fractional diffusion equation which has second-order accuracy in both time and space direction. The time and space fractional derivatives are considered in the senses of Caputo and Riesz, respectively. First, the centered difference approach is used to approximate the Riesz fractional derivative in space. Then, the obtained fractional ordinary differential equations are transformed into equivalent Volterra integral equations. And then, the trapezoidal rule is utilized to approximate the Volterra integral equations. The stability and convergence of our scheme are proved via mathematical induction method. Finally, numerical experiments are performed to confirm the high accuracy and efficiency of our scheme. (C) 2017 Elsevier Inc. All rights reserved. |
| 资助项目 | National Natural Science Foundation of China[11371357] ; National Natural Science Foundation of China[11426141] ; ITER-China[2014GB124005] |
| WOS研究方向 | Computer Science ; Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000413379000001 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/26766]  |
| 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, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China 2.Yangzhou Univ, Coll Math Sci, Yangzhou 225002, Jiangsu, Peoples R China 3.Middle Tennessee State Univ, Dept Math Sci, Murfreesboro, TN 37132 USA 4.Middle Tennessee State Univ, Ctr Computat Sci, Murfreesboro, TN 37132 USA 5.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 6.COMSATS Inst Informat Technol, Lahore, Pakistan |
| 推荐引用方式 GB/T 7714 | Arshad, Sadia,Huang, Jianfei,Khaliq, Abdul Q. M.,et al. Trapezoidal scheme for time-space fractional diffusion equation with Riesz derivative[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2017,350:1-15. |
| APA | Arshad, Sadia,Huang, Jianfei,Khaliq, Abdul Q. M.,&Tang, Yifa.(2017).Trapezoidal scheme for time-space fractional diffusion equation with Riesz derivative.JOURNAL OF COMPUTATIONAL PHYSICS,350,1-15. |
| MLA | Arshad, Sadia,et al."Trapezoidal scheme for time-space fractional diffusion equation with Riesz derivative".JOURNAL OF COMPUTATIONAL PHYSICS 350(2017):1-15. |
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。