Proceedings of the International Conference on Geometry, Integrability and Quantization

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

Kamel Al-Khaled

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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.

Article information

Source
Proceedings of the Twentieth International Conference on Geometry, Integrability and Quantization, Ivaïlo M. Mladenov, Vladimir Pulov and Akira Yoshioka, eds. (Sofia: Avangard Prima, 2019), 79-87

Dates
First available in Project Euclid: 21 December 2018

Permanent link to this document
https://projecteuclid.org/ euclid.pgiq/1545361486

Digital Object Identifier
doi:10.7546/giq-20-2019-79-87

Mathematical Reviews number (MathSciNet)
MR3887743

Zentralblatt MATH identifier
07060431

Citation

Al-Khaled, Kamel. Wavelet-Based Numerical Scheme Compared with VIM for Solving Kawahara Equation. Proceedings of the Twentieth International Conference on Geometry, Integrability and Quantization, 79--87, Avangard Prima, Sofia, Bulgaria, 2019. doi:10.7546/giq-20-2019-79-87. https://projecteuclid.org/euclid.pgiq/1545361486


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