A SPECTRAL METHOD FOR PANTOGRAPH-TYPE DELAY DIFFERENTIAL EQUATIONS AND ITS CONVERGENCE ANALYSIS

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	A SPECTRAL METHOD FOR PANTOGRAPH-TYPE DELAY DIFFERENTIAL EQUATIONS AND ITS CONVERGENCE ANALYSIS
	Ali, Ishtiaq 1,2; Brunner, Hermann 3,4; Tang, Tao 4
	2009-03-01
发表期刊	JOURNAL OF COMPUTATIONAL MATHEMATICS
ISSN	0254-9409
卷号	27 期号:2-3 页码:254-265
摘要	We propose a novel numerical approach for delay differential equations with vanishing proportional delays based on spectral methods. A Legendre-collocation method is employed to obtain highly accurate numerical approximations to the exact solution. It is proved theoretically and demonstrated numerically that the proposed method converges exponentially provided that the data in the given pantograph delay differential equation are smooth.
关键词	Spectral methods Legendre quadrature formula Pantograph-type delay differential equations Error analysis Exponential convergence
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000265073400009
出版者	VSP BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/8404
专题	中国科学院数学与系统科学研究院
通讯作者	Ali, Ishtiaq
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, Beijing 100190, Peoples R China 2.COMSATS Inst Informat Technol Islamabad, Dept Math, Islamabad, Pakistan 3.Mem Univ Newfoundland, Dept Math & Stat, St John, NF A1C 5S7, Canada 4.Hong Kong Baptist Univ, Dept Math, Hong Kong, Hong Kong, Peoples R China
推荐引用方式 GB/T 7714	Ali, Ishtiaq,Brunner, Hermann,Tang, Tao. A SPECTRAL METHOD FOR PANTOGRAPH-TYPE DELAY DIFFERENTIAL EQUATIONS AND ITS CONVERGENCE ANALYSIS[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2009,27(2-3):254-265.
APA	Ali, Ishtiaq,Brunner, Hermann,&Tang, Tao.(2009).A SPECTRAL METHOD FOR PANTOGRAPH-TYPE DELAY DIFFERENTIAL EQUATIONS AND ITS CONVERGENCE ANALYSIS.JOURNAL OF COMPUTATIONAL MATHEMATICS,27(2-3),254-265.
MLA	Ali, Ishtiaq,et al."A SPECTRAL METHOD FOR PANTOGRAPH-TYPE DELAY DIFFERENTIAL EQUATIONS AND ITS CONVERGENCE ANALYSIS".JOURNAL OF COMPUTATIONAL MATHEMATICS 27.2-3(2009):254-265.