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

被引：0

作者：

Ishtiaq Ali

Hermann Brunner

Tao Tang

机构：

[1] Chinese Academy of Sciences,Institute of Computational Mathematics, Academy of Mathematics and Systems Science

[2] COMSATS Institute of Information Technology,Department of Mathematics

[3] Memorial University of Newfoundland,Department of Mathematics and Statistics

[4] Hong Kong Baptist University,Department of Mathematics

来源：

Frontiers of Mathematics in China | 2009年 / 4卷

关键词：

Delay differential equation; Volterra functional integral equation; multiple vanishing delays; Legendre spectral method; convergence analysis; 34K28; 65Q05; 65R20;

D O I：

暂无

中图分类号：

学科分类号：

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.

引用

页码：49 / 61

页数：12

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