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

Ishtiaq Ali*, Hermann BRUNNER, Tao TANG

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

64 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)49-61
Number of pages13
JournalFrontiers of Mathematics in China
Volume4
Issue number1
DOIs
Publication statusPublished - Mar 2009

Scopus Subject Areas

  • Mathematics (miscellaneous)

User-Defined Keywords

  • Convergence analysis
  • Delay differential equation
  • Legendre spectral method
  • Multiple vanishing delays
  • Volterra functional integral equation

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