Georgian Mathematical Journal 13 (2006), No. 1, 143--152
Copyright Heldermann Verlag 2006
The Pseudo-Spectral Collocation Method for Resonant Long-Short Nonlinear Wave Interaction
Abdur Rashid
Dept. of Mathematics, COMSATS Inst. of Information Technology, Defence Road, Off Raiwind Road, Lahore, Pakistan
rashid_himat@yahoo.com
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.
Keywords: Long-short wave interaction, pseudo-spectral collocation method, energy estimation.
MSC: 65M70, 65M06, 65M12
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