Discrete-Time Orthogonal Spline Collocation Method for One-Dimensional Sine-Gordon Equation

doi:10.1155/2015/206264

	Discrete-Time Orthogonal Spline Collocation Method for One-Dimensional Sine-Gordon Equation
	Ding, Xiaoquan 1; Meng, Qing-Jiang 2; Yin, Li-Ping 3
刊名	DISCRETE DYNAMICS IN NATURE AND SOCIETY
	2015
ISSN号	1026-0226
DOI	10.1155/2015/206264
英文摘要	We present a discrete-time orthogonal spline collocation scheme for the one-dimensional sine-Gordon equation. This scheme uses Hermite basis functions to approximate the solution throughout the spatial domain on each time level. The convergence rate with order O(h(4) + tau(2)) in L-2 norm and stability of the scheme are proved. Numerical results are presented and compared with analytical solutions to confirm the accuracy of the presented scheme.
资助项目	Key Programs for Science and Technology of the Education Department of Henan Province[12A110007]
WOS关键词	SCHRODINGER-EQUATIONS ; SCHEME
WOS研究方向	Mathematics ; Science & Technology - Other Topics
语种	英语
出版者	HINDAWI PUBLISHING CORP
WOS记录号	WOS:000367940300001
内容类型	期刊论文
源URL	[http://ir.fio.com.cn:8080/handle/2SI8HI0U/26228]
专题	自然资源部第一海洋研究所
通讯作者	Meng, Qing-Jiang
作者单位	1.Henan Univ Sci & Technol, Sch Math & Stat, Luoyang 471023, Henan, Peoples R China 2.China Investment Secur, Shenzhen 518048, Guangdong, Peoples R China 3.State Ocean Adm, Inst Oceanog 1, Qingdao 266061, Shandong, Peoples R China
推荐引用方式 GB/T 7714	Ding, Xiaoquan,Meng, Qing-Jiang,Yin, Li-Ping. Discrete-Time Orthogonal Spline Collocation Method for One-Dimensional Sine-Gordon Equation[J]. DISCRETE DYNAMICS IN NATURE AND SOCIETY,2015.
APA	Ding, Xiaoquan,Meng, Qing-Jiang,&Yin, Li-Ping.(2015).Discrete-Time Orthogonal Spline Collocation Method for One-Dimensional Sine-Gordon Equation.DISCRETE DYNAMICS IN NATURE AND SOCIETY.
MLA	Ding, Xiaoquan,et al."Discrete-Time Orthogonal Spline Collocation Method for One-Dimensional Sine-Gordon Equation".DISCRETE DYNAMICS IN NATURE AND SOCIETY (2015).