首页 | 本学科首页   官方微博 | 高级检索  
     检索      


Spectral methods for pantograph-type differential and integral equations with multiple delays
Authors:Ishtiaq Ali  Hermann Brunner  Tao Tang
Institution:(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 Newfoundland, Canada;(4) Department of Mathematics, Hong Kong Baptist University, Hong Kong, China
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.
Keywords:Delay differential equation  Volterra functional integral equation  multiple vanishing delays  Legendre spectral method  convergence analysis
本文献已被 万方数据 SpringerLink 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号