一维椭圆方程边值问题的高精度差分方法  

The High Precision Difference Method for Soloving One-Dimentional Elliptic Equation with Boundary Conditions

作　　者：崔翔鹏[1] 

机构地区：[1]上海交通大学数学系,上海200240

出　　处：《应用数学与计算数学学报》2007年第1期55-65,共11页Communication on Applied Mathematics and Computation

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).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.

关 键 词：积分因子 一维椭圆方程边值问题 高精度差分格式 

分 类 号：O175.25[理学—数学]