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An efficient numerical method for the modified regularized long wave equation using Fourier spectral method
Journal of the Association of Arab Universities for Basic and Applied Sciences • 2016
Publication Information
Authors
Hany. N. Hassan
Keywords
MRLW equation;
Fourier spectral method;
Fast Fourier transform;
Leap-Frog method;
Solitary waves
Journal
Journal of the Association of Arab Universities for Basic and Applied Sciences
Publisher
Not Available
Volume
Not Available
Issue
Not Available
Pages
Not Available
publication.type
International
Paper Link
Not Available
Supplementary Materials
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Abstract
The modified regularized long wave (MRLW) equation is numerically solved using Fourier spectral collection method. The MRLW equation is discretized in space variable by the Fourier spectral method and Leap-Frog method for time dependence. To validate the efficiency, accuracy and simplicity of the used method, four cases study are solved. The single soliton wave motion, interaction of two solitary waves, interaction of three solitary waves and a Maxwellian initial condition pulse are studied. The L2L2 and L∞L∞ error norms are computed for the motion of single solitary waves. To determine the conservation properties of the MRLW equation three invariants of motion are evaluated for all test problems.