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

Kamel Al-Khaled*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-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 languageEnglish
Pages (from-to)79-87
Number of pages9
JournalGeometry, Integrability and Quantization
Volume20
DOIs
Publication statusPublished - Jan 1 2019
Externally publishedYes

Keywords

  • Numerical methods
  • Solitary wave solutions
  • VIM
  • Wavelets bases

ASJC Scopus subject areas

  • Mathematical Physics
  • Geometry and Topology
  • Applied Mathematics

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