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

  • Abdur Rashid
Veröffentlicht/Copyright: 10. März 2010
Veröffentlichen auch Sie bei De Gruyter Brill
Georgian Mathematical Journal
Aus der Zeitschrift Band 13 Heft 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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