| 求解泊松方程的紧致高阶差分方法 |
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| 引用本文： | 田振夫. 求解泊松方程的紧致高阶差分方法[J]. 西北大学学报(自然科学版), 1996, 26(2): 109-114 |
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| 作者姓名： | 田振夫 |
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| 作者单位： | 宁夏大学应用数学研究所 |
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| 基金项目： | 宁夏自治区教委科研基金 |
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| 摘 要： | 基于Ｈｅｒｍｉｔｅ插值法的基本思想，提出了求解二维泊松（Ｐｏｉｓｓｏｎ）方程的紧致高阶差分方法，得到了一般形式的四阶和六阶差分紧致格式。通过数值实验证明了格式的良好性态。
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| 关 键 词： | 泊松方程；有限差分方法；高精度；紧致格式 |
Compact High-order Difference Methods for Solving the Poisson Equation |
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| Tian Zhenfu. Compact High-order Difference Methods for Solving the Poisson Equation[J]. Journal of Northwest University(Natural Science Edition), 1996, 26(2): 109-114 |
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| Authors: | Tian Zhenfu |
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| Abstract: | A compact type high-order difference method based on Hermite methed is presented for the solution of the two dimensional Poisson equation. In particular. the general different methods with forth-and sixth-order compact schemes are set up. Numerical examples are given to illustrate the behavior of the present schemes and their convengence. |
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| Keywords: | Poisson equation finite different method high-order compact scheme |
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