应用于Schrödinger-Benjamin-Ono系统的隐式谱格式误差分析

IF 1.5 Q2 MATHEMATICS, APPLIED

International Journal of Differential Equations Pub Date : 2016-11-03 DOI:10.1155/2016/6930758

Juan Carlos Muñoz Grajales

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引用次数: 1

摘要

我们开发了Fourier-Galerkin数值格式的半离散和全离散公式的误差估计，以近似描述在深水状态下毛细管重力波下两种不同密度流体运动的耦合非线性薛定谔-本杰明- ono系统的解。用系统的行波精确解检验了数值解的精度。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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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 Schrodinger-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.

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来源期刊

International Journal of Differential Equations MATHEMATICS, APPLIED-

CiteScore

3.10

自引率

0.00%

发文量

审稿时长

20 weeks