A numerical comparison of a Kawahara equation

Doǧan Kaya; Kamel Al-Khaled

doi:10.1016/j.physleta.2006.11.055

A numerical comparison of a Kawahara equation

Doǧan Kaya^*, Kamel Al-Khaled

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

37 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 language	English
Pages (from-to)	433-439
Number of pages	7
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	363
Issue number	5-6
DOIs	https://doi.org/10.1016/j.physleta.2006.11.055
Publication status	Published - Apr 9 2007
Externally published	Yes

Keywords

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

ASJC Scopus subject areas

Physics and Astronomy(all)

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10.1016/j.physleta.2006.11.055

Cite this

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keywords = "Adomian decomposition method, Kawahara equation, Sinc-Galerkin method, Traveling wave solution",

author = "Doǧan Kaya and Kamel Al-Khaled",

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AU - Al-Khaled, Kamel

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AB - 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.

KW - Adomian decomposition method

KW - Kawahara equation

KW - Sinc-Galerkin method

KW - Traveling wave solution

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JF - Physics Letters, Section A: General, Atomic and Solid State Physics

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A numerical comparison of a Kawahara equation

Abstract

Keywords

ASJC Scopus subject areas

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