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 题名: A weighted finite difference method for the fractional diffusion equation based on the Riemann-Liouville derivative 作者: Sousa, E; Li, C 收录类别: SCIE ; EI ; ESI ESI注释: 2017-07-19;Highly Cited Papers 出版日期: 2015-04 刊名: APPLIED NUMERICAL MATHEMATICS 卷号: 90, 页码:22-37 出版者: ELSEVIER 出版地: AMSTERDAM 英文摘要: A one dimensional fractional diffusion model with the Riemann-Liouville fractional derivative is studied. First, a second order discretization for this derivative is presented and then an unconditionally stable weighted average finite difference method is derived. The stability of this scheme is established by von Neumann analysis. Some numerical results are shown, which demonstrate the efficiency and convergence of the method. Additionally, some physical properties of this fractional diffusion system are simulated, which further confirm the effectiveness of our method. (C) 2014 IMACS. Published by Elsevier B.V. All rights reserved. 关键词: Fractional diffusion equations ; Riemann-Liouville derivative ; Weighted average methods ; Von Neumann stability analysis 作者部门: [Sousa, Ercilia] Univ Coimbra, CMUC, Dept Math, P-3001454 Coimbra, Portugal ; [Li, Can] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China 通讯作者: Sousa, E (reprint author), Univ Coimbra, CMUC, Dept Math, P-3001454 Coimbra, Portugal. 学科分类: Mathematics 文章类型: Article 所属项目编号: CMUC (Portugal) through European program COMPETE/FEDER [PEst-C/MAT/UI0324/2013] ; FCT (Portugal) through European program COMPETE/FEDER [PEst-C/MAT/UI0324/2013] ; Program for New Century Excellent Talents in University [NCET-09-0438] ; National Natural Science Foundation of China [10801067, 11426174] ; Fundamental Research Funds for the Central Universities [lzujbky-2010-63] ; [UTAustin/MAT/066/2008] ; [PTDC/MAT-NAN/0593/2012] 所属项目名称: 国家自然科学基金项目 ; 新世纪优秀人才支持计划 ; 中央高校基本科研业务费专项资金 项目资助者: NSFC ; MOE ; LZU 语种: 英语 DOI: 10.1016/j.apnum.2014.11.007 ISSN号: 0168-9274 WOS记录号: WOS:000349274900003 EI记录号: 20145300389271 第一机构: 否 Citation statistics: 内容类型: 期刊论文 URI标识: http://ir.lzu.edu.cn/handle/262010/118982 Appears in Collections: 数学与统计学院_期刊论文

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 Recommended Citation: Sousa, E,Li, C. A weighted finite difference method for the fractional diffusion equation based on the Riemann-Liouville derivative[J]. APPLIED NUMERICAL MATHEMATICS,2015,90:22-37.
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