Wavelet representation of lower-atmospheric long nonlinear wave dynamics, governed by the Benjamin-Davis-Ono-Burgers equation

Aime Fournier

doi:10.1117/12.205430

6 April 1995 Wavelet representation of lower-atmospheric long nonlinear wave dynamics, governed by the Benjamin-Davis-Ono-Burgers equation

Aime Fournier

Author Affiliations +

Proceedings Volume 2491, Wavelet Applications II; (1995) https://doi.org/10.1117/12.205430
Event: SPIE's 1995 Symposium on OE/Aerospace Sensing and Dual Use Photonics, 1995, Orlando, FL, United States

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.

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Aime Fournier "Wavelet representation of lower-atmospheric long nonlinear wave dynamics, governed by the Benjamin-Davis-Ono-Burgers equation", Proc. SPIE 2491, Wavelet Applications II, (6 April 1995); https://doi.org/10.1117/12.205430

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