| 线性Boussinesq方程的四阶紧致差分格式 |
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| 引用本文： | 黄浪杨,胡莉莉.线性Boussinesq方程的四阶紧致差分格式[J].数学的实践与认识,2017(7):146-151. |
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| 作者姓名： | 黄浪杨 胡莉莉 |
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| 作者单位： | 华侨大学 数学科学学院,福建 泉州,362021 |
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| 基金项目： | 国家自然科学基金(11271171;11501224)，福建省自然科学基金(2011J01010)，华侨大学中青年教师科研提升资助计划项目(ZQN-PY201) |
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| 摘 要： | 基于紧致差分方法,推导出一个时间和空间方向均为四阶精度的三层隐式紧致格式,并采用Fourier分析法给出了格式的稳定性条件.最后,数值例子验证了所给出来的格式的精度和可靠性.
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| 关 键 词： | Boussinesq方程 高精度 紧致差分格式 稳定性条件 数值例子 |
Fourth-Order Compact Difference Method for the Linear Boussinesq Equation |
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| HUANG Lang-yang,HU Li-li.Fourth-Order Compact Difference Method for the Linear Boussinesq Equation[J].Mathematics in Practice and Theory,2017(7):146-151. |
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| Authors: | HUANG Lang-yang HU Li-li |
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| Abstract: | Based on the compact finite difference method,a three-layer implicit compact scheme with fourth-order accuracy in temporal and spatial directions was derived,and the stability condition of the scheme was given by using the Fourier analytic method.Finally,the accuracy and the reliability of the scheme proposed in this paper was verified through numerical examples. |
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| Keywords: | Boussinesq equation compact finite difference scheme stability condition numerical example |
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