A numerical comparison of a Kawahara equation

Doǧan Kaya, Kamel Al-Khaled

Research output: Contribution to journalArticle

22 Citations (Scopus)

Abstract

In this Letter we present an Adomian's decomposition Method (shortly ADM) and the Sinc-Galerkin Method (shortly SGM) for numerical approximation traveling wave solutions of the Kawahara equation. We obtain the exact traveling wave solutions of the Kawahara equation for the initial conditions by using ADM. Then ADM yields the analytic approximate solution with fast convergence rate and high accuracy through previous works. The numerical solutions are compared with the known analytical solutions.

Original languageEnglish
Pages (from-to)433-439
Number of pages7
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume363
Issue number5-6
DOIs
Publication statusPublished - Apr 9 2007

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traveling waves
Galerkin method
decomposition
approximation

Keywords

  • Adomian decomposition method
  • Kawahara equation
  • Sinc-Galerkin method
  • Traveling wave solution

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

A numerical comparison of a Kawahara equation. / Kaya, Doǧan; Al-Khaled, Kamel.

In: Physics Letters, Section A: General, Atomic and Solid State Physics, Vol. 363, No. 5-6, 09.04.2007, p. 433-439.

Research output: Contribution to journalArticle

Kaya, Doǧan ; Al-Khaled, Kamel. / A numerical comparison of a Kawahara equation. In: Physics Letters, Section A: General, Atomic and Solid State Physics. 2007 ; Vol. 363, No. 5-6. pp. 433-439.
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