Finite difference method for time-space linear and nonlinear fractional diffusion equations
文献类型：期刊论文
| 作者 | Arshad, Sadia1,2; Bu, Weiping3; Huang, Jianfei4; Tang, Yifa1,5 ; Zhao, Yue1
|
| 刊名 | INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
 |
| 出版日期 | 2018 |
| 卷号 | 95期号:1页码:202-217 |
| 关键词 | Fractional diffusion equation finite difference method stability and convergence analysis trapezoidal formula Riesz derivative Caputo derivative |
| ISSN号 | 0020-7160 |
| DOI | 10.1080/00207160.2017.1344231 |
| 英文摘要 | In this paper a finite difference method is presented to solve time-space linear and nonlinear fractional diffusion equations. Specifically, the centred difference scheme is used to approximate the Riesz fractional derivative in space. A trapezoidal formula is used to solve a system of Volterra integral equations transformed from spatial discretization. Stability and convergence of the proposed scheme is discussed which shows second-order accuracy both in temporal and spatial directions. Finally, examples are presented to show the accuracy and effectiveness of the schemes. |
| 资助项目 | State Key Program of National Natural Science Foundation of China[11631013] ; National Natural Science Foundation of China[11371357] ; National Natural Science Foundation of China[11472247] ; National Natural Science Foundation of China[11601460] ; ITER-China Program[2014GB124005] ; Research Foundation of Education Commission of Hunan Province of China[16C1540] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000428749300013 |
| 出版者 | TAYLOR & FRANCIS LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/30050]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Arshad, Sadia |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China 2.COMSATS Inst Informat Technol, Lahore, Pakistan 3.Xiangtan Univ, Hunan Key Lab Computat & Simulat Sci & Engn, Sch Math & Computat Sci, Xiangtan, Peoples R China 4.Yangzhou Univ, Coll Math Sci, Yangzhou, Jiangsu, Peoples R China 5.Univ Chinese Acad Sci, Sch Math Sci, Beijing, Peoples R China |
| 推荐引用方式 GB/T 7714 | Arshad, Sadia,Bu, Weiping,Huang, Jianfei,et al. Finite difference method for time-space linear and nonlinear fractional diffusion equations[J]. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS,2018,95(1):202-217. |
| APA | Arshad, Sadia,Bu, Weiping,Huang, Jianfei,Tang, Yifa,&Zhao, Yue.(2018).Finite difference method for time-space linear and nonlinear fractional diffusion equations.INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS,95(1),202-217. |
| MLA | Arshad, Sadia,et al."Finite difference method for time-space linear and nonlinear fractional diffusion equations".INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS 95.1(2018):202-217. |
入库方式： OAI收割
来源：数学与系统科学研究院
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