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The Pseudo-Spectral Collocation Method for Resonant Long-Short Nonlinear Wave Interaction

  • Abdur Rashid
Published/Copyright: March 10, 2010
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Georgian Mathematical Journal
From the journal Volume 13 Issue 1

Abstract

A pseudo-spectral collocation method for a class of equations describing resonant long-short wave interaction is studied. Semi-discrete and fully discrete Fourier pseudo-spectral collocation schemes are given. In fully discrete case we establish a three-level explicit scheme which is convenient and saves time in real computation. We use energy estimation methods to obtain error estimates for the approximate solutions.

Received: 2004-11-30
Published Online: 2010-03-10
Published in Print: 2006-March

© Heldermann Verlag

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