| 非线性"good"Boussinesq方程的多辛Fourier拟谱格式 |
| |
| 引用本文： | 黄浪扬.非线性"good"Boussinesq方程的多辛Fourier拟谱格式[J].福州大学学报(自然科学版),2006,34(3):334-338. |
| |
| 作者姓名： | 黄浪扬 |
| |
| 作者单位： | 华侨大学数学系,福建,泉州,362021 |
| |
| 摘 要： | 在空间方向用Fourier拟谱方法离散非线性“good”Boussinesq方程,然后在时间方向用中点辛格式对半离散方程进行数值求解,得到了非线性“good”Boussinesq方程的多辛Fourier拟谱格式.数值实验能很好地模拟原孤立波的运动,验证了所构造格式的有效性与长时间的数值稳定性.
|
| 关 键 词： | 非线性“good”Boussinesq方程 Fourier拟谱格式 多辛 |
| 文章编号： | 1000-2243(2006)03-0334-05 |
| 修稿时间： | 2005年10月24 |
Multi-symplectic fourier pseudospectral scheme for nonlinear "good" Boussinesq equation |
| |
| HUANG Lang-yang.Multi-symplectic fourier pseudospectral scheme for nonlinear "good" Boussinesq equation[J].Journal of Fuzhou University(Natural Science Edition),2006,34(3):334-338. |
| |
| Authors: | HUANG Lang-yang |
| |
| Institution: | HUANG Lang-yang(Department of Mathematics,Huaqiao University,Quanzhou, Fujian 362021,China) |
| |
| Abstract: | Using Fourier pseudospectral method in space direction,and mid-point Euler method in time direction to discrete nonlinear "good" Boussinesq equation,a multi-symplectic Fourier pseudospectral scheme was constructed.Numerical experiments show that the multi-symplectic Fourier pseudospectral scheme constructed in this paper is effective,and which has excellent long-time numerical behavior. |
| |
| Keywords: | nonlinear "good" Boussinesq equation fourier pseudospectral scheme multi-symplectic |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
| 点击此处可从《福州大学学报(自然科学版)》浏览原始摘要信息 |
| 点击此处可从《福州大学学报(自然科学版)》下载免费的PDF全文 |
