Eventual periodicity of the forced oscillations for a Korteweg–de Vries type equation on a bounded domain using a sinc collocation method

Kamel Al-Khaled, Nicholas Haynes, William Schiesser, Muhammad Usman*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)

Abstract

We demonstrate numerically the eventual time periodicity of solutions u(.,t) to the Korteweg–de Vries type equation with periodic forcing at one end using the sinc-collocation method. This method approximates the space dimension of the solution with a cardinal expansion of sinc functions, thus allowing the avoidance of a costly finite difference grid for a third order boundary value problem. The first order time derivative is approximated with a θ-weighted finite difference method. The sinc-collocation method was found to be more robust and more efficient than other numerical schemes when applied to this problem.

Original languageEnglish
Pages (from-to)417-428
Number of pages12
JournalJournal of Computational and Applied Mathematics
Volume330
DOIs
Publication statusPublished - Mar 1 2018
Externally publishedYes

Keywords

  • Eventual periodicity
  • KdV equation
  • Sinc collocation method

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics

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