A Fourth Order Finite Difference Method for Time-Space Fractional Diffusion Equations

doi:10.4208/eajam.280218.210518

	A Fourth Order Finite Difference Method for Time-Space Fractional Diffusion Equations
	Arshad, Sadia 1,4; Baleanu, Dumitru 2,6,7; Huang, Jianfei 3; Tang, Yifa4,5 ; Zhao, Yue 4,5
	2018-11-01
发表期刊	EAST ASIAN JOURNAL ON APPLIED MATHEMATICS
ISSN	2079-7362
卷号	8 期号:4 页码:764-781
摘要	A finite difference method for a class of time-space fractional diffusion equations is considered. The trapezoidal formula and a fourth-order fractional compact difference scheme are, respectively, used in temporal and spatial discretisations and the method stability is studied. Theoretical estimates of the convergence in the L-2 -norm are shown to be O(tau(2) + h(4)), where tau and h are time and space mesh sizes. Numerical examples confirm theoretical results.
关键词	Fractional diffusion equation Riesz derivative high-order approximation stability convergence
DOI	10.4208/eajam.280218.210518
语种	英语
资助项目	Scientific and Technological Research Council of Turkey (TUBTAK)[TBAG-117F473] ; National Natural Science Foundation of China[11701502] ; National Natural Science Foundation of China[11771438]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000456113500009
出版者	GLOBAL 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/32318
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.COMSATS Univ Islamabad, Lahore, Pakistan 2.Cankaya Univ, Dept Math, TR-06530 Ankara, Turkey 3.Yangzhou Univ, Coll Math Sci, Yangzhou 225002, Jiangsu, Peoples R China 4.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China 5.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 6.Inst Space Sci, Magurele 077125, Romania 7.Tshwane Univ Technol, Fac Sci, Dept Math & Stat, Arcadia Campus,Bldg 2-117,Nelson Mandela Dr, ZA-0001 Pretoria, South Africa
推荐引用方式 GB/T 7714	Arshad, Sadia,Baleanu, Dumitru,Huang, Jianfei,et al. A Fourth Order Finite Difference Method for Time-Space Fractional Diffusion Equations[J]. EAST ASIAN JOURNAL ON APPLIED MATHEMATICS,2018,8(4):764-781.
APA	Arshad, Sadia,Baleanu, Dumitru,Huang, Jianfei,Tang, Yifa,&Zhao, Yue.(2018).A Fourth Order Finite Difference Method for Time-Space Fractional Diffusion Equations.EAST ASIAN JOURNAL ON APPLIED MATHEMATICS,8(4),764-781.
MLA	Arshad, Sadia,et al."A Fourth Order Finite Difference Method for Time-Space Fractional Diffusion Equations".EAST ASIAN JOURNAL ON APPLIED MATHEMATICS 8.4(2018):764-781.