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

doi:10.1007/s11464-009-0010-z

科研成果详情

发表状态	已发表Published
题名	Spectral methods for pantograph-type differential and integral equations with multiple delays
作者	Ali, Ishtiaq ; Brunner, Hermann ; Tang, Tao
发表日期	2009
发表期刊	Frontiers of Mathematics in China
ISSN/eISSN	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. © 2009 Higher Education Press and Springer-Verlag GmbH.
关键词	Convergence analysis Delay differential equation Legendre spectral method Multiple vanishing delays Volterra functional integral equation
DOI	10.1007/s11464-009-0010-z
URL	查看来源
收录类别	SCIE ; CPCI-S
语种	英语English
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000270372600004
引用统计	被引频次：88[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	https://repository.uic.edu.cn/handle/39GCC9TT/2106
专题	个人在本单位外知识产出
通讯作者	Ali, Ishtiaq
作者单位	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
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.