摘要
本文考虑了具齐次边界条件的广义对称正则长波方程的Legendre和Chebyshev拟谱方法。构造了半离散和全离散的Legendre和Chebyshev拟谱格式,从理论上得到了这些格式对应的最优误差估计.
In this paper, Legendre and Chebyshev pseudospectral methods for the generalized regularized long wave equations with homogeneous boundary condition are considered. The semi-discrete and fully-discrete Legendre and Chebyshev pseudospectral schemes are constructed, and the corresponding optimum error estimates of these schemes are obtained in theory.
出处
《应用数学学报》
CSCD
北大核心
2003年第4期590-604,共15页
Acta Mathematicae Applicatae Sinica
基金
国家自然科学基金(10271034号)