| 一维椭圆方程边值问题的高精度差分方法 |
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| 引用本文： | 崔翔鹏.一维椭圆方程边值问题的高精度差分方法[J].应用数学与计算数学学报,2007,21(1):55-65. |
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| 作者姓名： | 崔翔鹏 |
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| 作者单位： | 上海交通大学数学系,上海,200240 |
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| 摘 要： | 本文研究一维椭圆方程边值问题的差分方法,利用Lagrange插值理论与积分因子技巧,发展了一套有效的高精度算法,对非等距节点和等距节点,其精度分别可达O(h~4)和O(h~5).数值结果显示了该方法的优越性
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| 关 键 词： | 积分因子 一维椭圆方程边值问题 高精度差分格式 |
| 修稿时间： | 2005-10-21 |
The High Precision Difference Method for Soloving One-Dimentional Elliptic Equation with Boundary Conditions |
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| Cui Xiangpeng.The High Precision Difference Method for Soloving One-Dimentional Elliptic Equation with Boundary Conditions[J].Communication on Applied Mathematics and Computation,2007,21(1):55-65. |
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| Authors: | Cui Xiangpeng |
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| Institution: | Department of Mathematics, Shanghai Jiaotong University, Shanghai 200240, China |
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| Abstract: | In this paper,a kind of difference method for soloving one-dimentional elliptic equation with boundary conditions is studied.We use the theory of Lagrange interpolation and integral fator to develop a high precision method.As for node with unequal and equal steps,its precision can reach O(h~4) and O(h~5)repectively.Numerial result shows its superiority. |
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| Keywords: | integral factor one-dimentional elliptic equation with boundary conditions high precision |
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