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An Accurate Numerical Solution for the Modified Equal Width Wave Equation Using the Fourier Pseudo-Spectral Method
Journal of Applied Mathematics and Physics • 2016
Publication Information
Authors
Hany. N. Hassan
Keywords
The Modified Equal Width Wave Equation, Fourier Pseudo-Spectral Method, Solitary Waves, Fast
Fourier Transform
Journal
Journal of Applied Mathematics and Physics
Publisher
Not Available
Volume
4
Issue
Not Available
Pages
1054-1067
publication.type
International
Paper Link
Not Available
Supplementary Materials
Not Available
Abstract
In this study, the numerical solution for the Modified Equal Width Wave (MEW) equation is pre-
sented using Fourier spectral method that use to discretize the space variable and Leap-frog me-
thod scheme for time dependence. Test problems including the single soliton wave motion, inte-
raction of two solitary waves and interaction of three solitary waves will use to validate the pro-
posed 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 L and L error norms are computed to study the accuracy and the simplicity of the presented
method.
sented using Fourier spectral method that use to discretize the space variable and Leap-frog me-
thod scheme for time dependence. Test problems including the single soliton wave motion, inte-
raction of two solitary waves and interaction of three solitary waves will use to validate the pro-
posed 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 L and L error norms are computed to study the accuracy and the simplicity of the presented
method.