A linearized ADI scheme for two-dimensional time-space fractional nonlinear vibration equations

doi:10.1080/00207160.2021.1897113

CSpace

	A linearized ADI scheme for two-dimensional time-space fractional nonlinear vibration equations
	Zhang, Jingna 1; Huang, Jianfei 1; Aleroev, Temirkhan S.2; Tang, Yifa 3,4
	2021-03-13
发表期刊	INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
ISSN	0020-7160
页码	15
摘要	A nonlinear initial boundary value problem with a time Caputo derivative of fractional-order beta is an element of (1, 2) and a space Riesz derivative of fractional-order alpha is an element of (1, 2) is considered. A linearized alternating direction implicit (ADI) scheme for this problem is constructed and analysed. First, we use the classical central difference formula and a new 3 - beta-order formula to approximate the second-order derivative and the Caputo derivative in temporal direction, respectively. Meanwhile, the central difference quotient and fractional central difference formula are applied to deal with the spatial discretizations. Then, the proposed ADI scheme is proved unconditionally stable and convergent with the 3 - beta-order accuracy in time and the second-order accuracy in space. Furthermore, the effectiveness of the ADI scheme and theoretical findings are illustrated by numerical experiments.
关键词	Time-space fractional nonlinear vibration equations two dimensions linearized ADI scheme stability convergence
DOI	10.1080/00207160.2021.1897113
收录类别	SCI
语种	英语
资助项目	National Natural Science Foundation of China[11701502] ; National Natural Science Foundation of China[11871065] ; Natural Science Foundation of Jiangsu Province of China[BK20201427]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000628036300001
出版者	TAYLOR & FRANCIS LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/58231
专题	中国科学院数学与系统科学研究院
通讯作者	Huang, Jianfei
作者单位	1.Yangzhou Univ, Coll Math Sci, Yangzhou 225002, Jiangsu, Peoples R China 2.Moscow State Univ Civil Engn, Moscow, Russia 3.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing, Peoples R China 4.Univ Chinese Acad Sci, Sch Math Sci, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Zhang, Jingna,Huang, Jianfei,Aleroev, Temirkhan S.,et al. A linearized ADI scheme for two-dimensional time-space fractional nonlinear vibration equations[J]. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS,2021:15.
APA	Zhang, Jingna,Huang, Jianfei,Aleroev, Temirkhan S.,&Tang, Yifa.(2021).A linearized ADI scheme for two-dimensional time-space fractional nonlinear vibration equations.INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS,15.
MLA	Zhang, Jingna,et al."A linearized ADI scheme for two-dimensional time-space fractional nonlinear vibration equations".INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS (2021):15.