| 求解泊松方程的高精度紧致差分方法 |
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| 引用本文： | 田振夫.求解泊松方程的高精度紧致差分方法[J].商丘师范学院学报,1998(Z4). |
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| 作者姓名： | 田振夫 |
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| 作者单位： | 宁夏大学数学系!750021，宁夏银川 |
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| 基金项目： | 宁夏自治区教育科研基金 |
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| 摘 要： | 基于Kreiss1]所建立的紧致差分逼近公式，提出一种数值求解二维泊极方程的高精度紧致差分方法．该方法是矩形网络下九结点差分近似，其推导过程简单，且具有四阶精度．最后给出了误差估计和数值结果．
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| 关 键 词： | 泊松方程 紧致差分方法 差分格式 高精度 |
COMPACT FINITE DIFFERENCE METHOD FOR SOLVING POISSON EQUATION |
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| Tian Zhenfu.COMPACT FINITE DIFFERENCE METHOD FOR SOLVING POISSON EQUATION[J].Journal of Shangqiu Teachers College,1998(Z4). |
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| Authors: | Tian Zhenfu |
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| Abstract: | Based on compact differencing of fourth-order accuracy made by Kreiss, H. O, asimple compact finite-difference (FD)method for solving two-dimonsional (2D) Poisson equation is developed in this paper. First, 2D equation is discretized by uti1izing the compact difference formula of the four order accuracy. Then,we obtain a compact nine-points difference scheme for rectangular cells. Finally,error estimate and numer1cal results are also given to illustreat the present method and its conregence. |
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| Keywords: | Poisson equation compact difference method difference scheme high-order accuracy |
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