Error estimates for a Galerkin numerical scheme applied to a generalized BBM equation

Herein we obtain error estimates for a new Galerkin spectral scheme to approximate the solutions of a dispersive-type equation which is a model to describe the propagation of a wave on the surface of a channel with a flat bottom.

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Bibliographic Details
Published in:Applicable analysis 2015-07, Vol.94 (7), p.1405-1419
Main Author: Grajales, Juan Carlos Muñoz
Format: Article
Language:English
Subjects:
Approximation
dispersive equation
Errors
Estimates
Estimating techniques
Galerkin method
Galerkin methods
Mathematical analysis
Mathematical models
Propagation
Spectra
water waves
Wave propagation
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Description
Summary:Herein we obtain error estimates for a new Galerkin spectral scheme to approximate the solutions of a dispersive-type equation which is a model to describe the propagation of a wave on the surface of a channel with a flat bottom.
ISSN:0003-6811
1563-504X
DOI:10.1080/00036811.2014.932907