Spectral methods for pantograph-type differential and integral equations with multiple delays

doi:10.1007/s11464-009-0010-z

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	Spectral methods for pantograph-type differential and integral equations with multiple delays
	Ali, Ishtiaq 1,2; Brunner, Hermann 3,4; Tang, Tao 4
	2009-03-01
发表期刊	FRONTIERS OF MATHEMATICS IN CHINA
ISSN	1673-3452
卷号	4 期号:1 页码:49-61
摘要	We analyze the convergence properties of the spectral method when used to approximate smooth solutions of delay differential or integral equations with two or more vanishing delays. It is shown that for the pantograph-type functional equations the spectral methods yield the familiar exponential order of convergence. Various numerical examples are used to illustrate these results.
关键词	Delay differential equation Volterra functional integral equation multiple vanishing delays Legendre spectral method convergence analysis
DOI	10.1007/s11464-009-0010-z
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000270372600004
出版者	HIGHER EDUCATION 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/8930
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 100080, Peoples R China 2.COMSATS Inst Informat Technol, 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. Spectral methods for pantograph-type differential and integral equations with multiple delays[J]. FRONTIERS OF MATHEMATICS IN CHINA,2009,4(1):49-61.
APA	Ali, Ishtiaq,Brunner, Hermann,&Tang, Tao.(2009).Spectral methods for pantograph-type differential and integral equations with multiple delays.FRONTIERS OF MATHEMATICS IN CHINA,4(1),49-61.
MLA	Ali, Ishtiaq,et al."Spectral methods for pantograph-type differential and integral equations with multiple delays".FRONTIERS OF MATHEMATICS IN CHINA 4.1(2009):49-61.