| 泊松方程的优化有限差分方法 |
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| 引用本文： | 田振夫.泊松方程的优化有限差分方法[J].嘉应学院学报,1996(1):6-9. |
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| 作者姓名： | 田振夫 |
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| 摘 要： | 本文基于Kreiss所建立的紧致差分公式,提出一种既简单又新颖的离散二维泊松方程的优化有限差分方法。首先将二维泊松方程转化成一维问题,再利用紧致差分直接离散一维方程,以此为基础,最终建立起九结点矩形网格下的求解二维泊松方程的优化差分格式。
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| 关 键 词： | 泊松方程 紧致差分格式 优化差分方法 |
OPTIMAL FINITE DIFFERENCE METHOD FOR POISSON EQUATION |
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| Tian Zhenfu.OPTIMAL FINITE DIFFERENCE METHOD FOR POISSON EQUATION[J].Journal of Jiaying University,1996(1):6-9. |
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| Authors: | Tian Zhenfu |
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| Institution: | Tian Zhenfu |
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| Abstract: | Based on compact differencing of fourth-order accuracy made by KreissHO,a simple and novel optimal finite-difference(FD) method for two - dimensional(2D) Poisson equation is developed in this paper. First,2D equation is transfered to ID equation. Then,ID equation is discretized by utilizing the compact difference formula of the four order accuracy. Finally,we obtain a optimal nine - point difference scheme for rectangular cells with an arbitrary length - to-width ratio r. Numerical example is given to illustrate the present method and its convergence. |
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| Keywords: | Poisson equation compact difference scheme optinial difference method |
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