Wavelet-Based Numerical Scheme Compared with VIM for Solving Kawahara Equation

Kamel Al-Khaled

doi:10.7546/giq-20-2019-79-87

Wavelet-Based Numerical Scheme Compared with VIM for Solving Kawahara Equation

Kamel Al-Khaled^*

^*Corresponding author for this work

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

Abstract

This paper aims to introduce a comparison of variation iteration method and wavelet basis method for the numerical solution of the Kawahara equation. Test problem is used to compare between the two methods. The comparison shows that variation iteration method is efficient and easy to use. On the other hand, the wavelet method is more stable as time increases.

Original language	English
Pages (from-to)	79-87
Number of pages	9
Journal	Geometry, Integrability and Quantization
Volume	20
DOIs	https://doi.org/10.7546/giq-20-2019-79-87
Publication status	Published - Jan 1 2019
Externally published	Yes

Keywords

Numerical methods
Solitary wave solutions
VIM
Wavelets bases

ASJC Scopus subject areas

Mathematical Physics
Geometry and Topology
Applied Mathematics

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10.7546/giq-20-2019-79-87

Cite this

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title = "Wavelet-Based Numerical Scheme Compared with VIM for Solving Kawahara Equation",

abstract = "This paper aims to introduce a comparison of variation iteration method and wavelet basis method for the numerical solution of the Kawahara equation. Test problem is used to compare between the two methods. The comparison shows that variation iteration method is efficient and easy to use. On the other hand, the wavelet method is more stable as time increases.",

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author = "Kamel Al-Khaled",

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AB - This paper aims to introduce a comparison of variation iteration method and wavelet basis method for the numerical solution of the Kawahara equation. Test problem is used to compare between the two methods. The comparison shows that variation iteration method is efficient and easy to use. On the other hand, the wavelet method is more stable as time increases.

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KW - Solitary wave solutions

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KW - Wavelets bases

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JO - Geometry, Integrability and Quantization

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Wavelet-Based Numerical Scheme Compared with VIM for Solving Kawahara Equation

Abstract

Keywords

ASJC Scopus subject areas

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