Spectral methods for pantograph-type differential and integral equations with multiple delays
文献类型：期刊论文
| 作者 | Ali, Ishtiaq1,2; Brunner, Hermann3,4; Tang, Tao4 |
| 刊名 | FRONTIERS OF MATHEMATICS IN CHINA
 |
| 出版日期 | 2009-03-01 |
| 卷号 | 4期号:1页码:49-61 |
| 关键词 | Delay differential equation Volterra functional integral equation multiple vanishing delays Legendre spectral method convergence analysis |
| ISSN号 | 1673-3452 |
| DOI | 10.1007/s11464-009-0010-z |
| 英文摘要 | 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. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000270372600004 |
| 出版者 | HIGHER EDUCATION PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/8929]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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