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Proceedings Paper

Wavelet representation of lower-atmospheric long nonlinear wave dynamics, governed by the Benjamin-Davis-Ono-Burgers equation
Author(s): Aime Fournier
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Paper Abstract

A modified technique is presented for projecting a large class of nonlinear partial differential equations with respect to (x, t) onto a finite number of ordinary differential equations with respect to t. Improved description compared to standard finite-difference or Fourier spectral methods involves using an orthonormal basis of wavelet functions (psi) (nu ,n)(x). Whereas Fourier projection represents the interaction between spatial scales throughout the x- domain, wavelet representation does the same locally. This technique is applied to solving the BDO-Burgers equation, extending previous results for the Burgers equation.

Paper Details

Date Published: 6 April 1995
PDF: 10 pages
Proc. SPIE 2491, Wavelet Applications II, (6 April 1995); doi: 10.1117/12.205430
Show Author Affiliations
Aime Fournier, Yale Univ. (United States)

Published in SPIE Proceedings Vol. 2491:
Wavelet Applications II
Harold H. Szu, Editor(s)

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