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Error Estimate of the Fourier Collocation Method for the Benjamin-Ono Equation

Error Estimate of the Fourier Collocation Method for the Benjamin-Ono Equation
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摘要 In this paper,the Fourier collocation method for solving the generalized Benjamin-Ono equation with periodic boundary conditions is analyzed.Stability of the semi-discrete scheme is proved and error estimate in H^(1/2)-norm is obtained. In this paper, the Fourier collocation method for solving the generalized Benjamin-Ono equation with periodic boundary conditions is analyzed. Stability of the semi-discrete scheme is proved and error estimate in H^1/2-norm is obtained.
作者 Zhenguo Deng Heping Ma
机构地区 School of Mathematics and Information Science Department of Mathematics
出处 《Numerical Mathematics(Theory,Methods and Applications)》 SCIE 2009年第3期341-352,共12页 高等学校计算数学学报（英文版）
基金 supported by NSF of China(60874039) Leading Academic Discipline Project of Shanghai Municipal Education Commission(J50101)
关键词 Fourier collocation Benjamin-Ono equation error estimate. 配置方法 误差估计 条件方程 傅里叶 周期性 傅立叶 半离散 稳定性
分类号 O241.82 [理学—计算数学] P207 [天文地球—测绘科学与技术]
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参考文献12

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Numerical Mathematics(Theory,Methods and Applications)
2009年 第3期

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