Article citationsMore>>

Esen, A. (2005) A Numerical Solution of the Equal Width Wave Equation by a Lumped Galerkin Method. Applied Mathematics and Computation, 168, 270-282.
http://dx.doi.org/10.1016/j.amc.2004.08.013

has been cited by the following article:

• TITLE: An Accurate Numerical Solution for the Modified Equal Width Wave Equation Using the Fourier Pseudo-Spectral Method

  AUTHORS: Hany N. Hassan

  KEYWORDS: The Modified Equal Width Wave Equation, Fourier Pseudo-Spectral Method, Solitary Waves, Fast Fourier Transform

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.4 No.6, June 13, 2016

  ABSTRACT: In this study, the numerical solution for the Modified Equal Width Wave (MEW) equation is presented using Fourier spectral method that use to discretize the space variable and Leap-frog method scheme for time dependence. Test problems including the single soliton wave motion, interaction of two solitary waves and interaction of three solitary waves will use to validate the proposed method. The three invariants of the motion are evaluated to determine the conservation properties of the generated scheme. Finally, a Maxwellian initial condition pulse is then studied. The L2 and L∞ error norms are computed to study the accuracy and the simplicity of the presented method.