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

doi:10.1007/s11464-009-0010-z

Details of Research Outputs

Status	已发表Published
Title	Spectral methods for pantograph-type differential and integral equations with multiple delays
Creator	Ali, Ishtiaq ; Brunner, Hermann ; Tang, Tao
Date Issued	2009
Source Publication	Frontiers of Mathematics in China
ISSN	1673-3452
Volume	4 Issue:1 Pages:49-61
Abstract	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. © 2009 Higher Education Press and Springer-Verlag GmbH.
Keyword	Convergence analysis Delay differential equation Legendre spectral method Multiple vanishing delays Volterra functional integral equation
DOI	10.1007/s11464-009-0010-z
URL	View source
Indexed By	SCIE ; CPCI-S
Language	英语English
WOS Research Area	Mathematics
WOS Subject	Mathematics
WOS ID	WOS:000270372600004
Citation statistics	Cited Times:87[WOS] [WOS Record] [Related Records in WOS]
Document Type	Journal article
Identifier	http://repository.uic.edu.cn/handle/39GCC9TT/2106
Collection	Research outside affiliated institution
Corresponding Author	Ali, Ishtiaq
Affiliation	1.Institute of Computational Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, China 2.Department of Mathematics, COMSATS Institute of Information Technology, Islamabad, Pakistan 3.Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John's, NL A1C 5S7, Canada 4.Department of Mathematics, Hong Kong Baptist University, Hong Kong, Hong Kong
Recommended Citation 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.

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