Error Analysis of an Implicit Spectral Scheme Applied to the Schrödinger-Benjamin-Ono System

We develop error estimates of the semidiscrete and fully discrete formulations of a Fourier-Galerkin numerical scheme to approximate solutions of a coupled nonlinear Schrödinger-Benjamin-Ono system that describes the motion of two fluids with different densities under capillary-gravity waves in a de...

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Bibliographic Details
Published in:International Journal of Differential Equations 2016-01, Vol.2016 (2016), p.258-269
Main Author: Grajales, Juan Carlos Munoz
Format: Article
Language:English
Subjects:
Analysis
Approximation
Computational fluid dynamics
Differential equations
Error analysis
Error analysis (Mathematics)
Experiments
Fluids
Gravitational waves
Mathematical functions
Mathematical models
Solitons
Solvers
Spectra
Studies
Theory
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Summary:We develop error estimates of the semidiscrete and fully discrete formulations of a Fourier-Galerkin numerical scheme to approximate solutions of a coupled nonlinear Schrödinger-Benjamin-Ono system that describes the motion of two fluids with different densities under capillary-gravity waves in a deep water regime. The accuracy of the numerical solver is checked using some exact travelling wave solutions of the system.
ISSN:1687-9643
1687-9651
DOI:10.1155/2016/6930758