Optimal Error Estimates Of The Fourier Spectral Method For A Class Of Nonlocal, Nonlinear Dispersive Wave Equations

Zhenguo Deng; Heping Ma

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Optimal Error Estimates Of The Fourier Spectral Method For A Class Of Nonlocal, Nonlinear Dispersive Wave Equations

机译：一类非局部非线性色散波方程的傅立叶谱方法的最佳误差估计

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摘要

In this work, a Fourier spectral method for a class of nonlinear, nonlocal dispersive wave equations with periodic boundary conditions is analyzed. Optimal error estimates in H~(1/2)-norm are obtained for the both semi-discrete and fully discrete schemes.

机译：在这项工作中，对一类具有周期边界条件的非线性，非局部色散波方程的傅里叶谱方法进行了分析。对于半离散和完全离散方案，都获得了H〜（1/2）范数的最优误差估计。

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《Applied numerical mathematics》 |2009年第5期|988-1010|共23页
作者
Zhenguo Deng; Heping Ma;
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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
fourier spectral; nonlocal; nonlinear; dispersive wave equation;

机译：傅立叶谱;非局部;非线性;色散波动方程;

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Optimal Error Estimates Of The Fourier Spectral Method For A Class Of Nonlocal, Nonlinear Dispersive Wave Equations

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