|
|||||
|
|
| 无界域上半线性强阻尼波动方程的全离散有理谱逼近 | |
| 引用本文： | 周婷,向新民.无界域上半线性强阻尼波动方程的全离散有理谱逼近[J].计算数学,2009,31(4):335-348. |
| 作者姓名： | 周婷 向新民 |
| 作者单位： | 1. 上海电力学院,上海,200090 2. 上海师范大学,上海,200234 |
| 基金项目： | 国家自然科学基金资助;批准号 |
| 摘 要： | 本文运用Chebyshev有理谱方法来讨论半线性强阻尼波动方程.通过建立时间、空间方向全离散的Chebyshev有理谱格式,证明了由此格式所确定的离散算子半群存在整体吸引子,并从理论上建立了在有限时间上近似解的误差估计. |
| 关 键 词： | 半线性强阻尼波动方程 Chebyshev有理谱方法 误差估计 近似吸引子 |
| 收稿时间： | 2007-02-25 |
THE FULLY DISCRETE RATIONAL SPECTRAL APPROXIMATE FOR THE SEMI-LINEAR STRONGLY DAMPED WAVE EQUATION ON R1 |
|
| Zhou Ting,Xiang Xinmin.THE FULLY DISCRETE RATIONAL SPECTRAL APPROXIMATE FOR THE SEMI-LINEAR STRONGLY DAMPED WAVE EQUATION ON R1[J].Mathematica Numerica Sinica,2009,31(4):335-348. | |
| Authors: | Zhou Ting Xiang Xinmin |
| Institution: | 1. Shanghai University of Electric Power,Shanghai 200090, China; 2. Shanghai Normal University, Shanghai 200234, China |
| Abstract: | In this paper, we study the numerical solution of the semi-linear strongly damped wave equation on the whole space. We construct the fully discrete Chebyshev rational spectral scheme and give the priori estimates of approximate solution. At same time we discuss their error estimate, the existence of approximate attractors AN. |
| Keywords: | Semi-linear Strongly Damped Wave Equation Rational Spectral Methods Approximate Global Attractor Error Estimate |
| 本文献已被 万方数据 等数据库收录！ | |
| 点击此处可从《计算数学》浏览原始摘要信息 | |
| 点击此处可从《计算数学》下载免费的PDF全文 | |