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

Juan Carlos Muñoz Grajales

International Journal of Differential Equations, 2016, vol. 2016, 1-12

Abstract:

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.

Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijde:6930758

DOI: 10.1155/2016/6930758

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