一类带小参数的非线性常微分方程的有限元素法

李康弟; 周亚虹

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上海电力大学学报:2004,20(4):37-40

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一类带小参数的非线性常微分方程的有限元素法

李康弟¹, 周亚虹²

(1.上海电力学院信息与计算科学系, 上海 200090;2.香港科技大学商学院)

A Finite Element Method for a Singular Perturbed Two-point Boundary Value Problem

LI Kang-di¹, ZHOU Ya-hong²

(1.Dept. of Information and Computing Science, Shanghai University of Electric Power, Shanghai 200090, China;2.Insititute of Business and Management, Hongkong University of Science and Technology University, China)

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投稿时间：2004-04-19

中文摘要: 讨论一类边界固定带有奇异摄动的二阶常微分方程,通过引进离散Green函数及有限元素方法,得到了在等距网格上的一致收敛性,其结点误差为O(h²).

中文关键词: 离散Green函数试探函数试验函数

Abstract:In this paper, some second ordinary differential equation with two-point fixed boundary and singular pertubation is examined. By using finite elements and a discrete Green's function, a uniform second order accurate is obtained on an equidistant mesh of width h. i.e. The nodal errors are bounded by Ch², here C is independent of h and ε.

keywords: discrete Green function exploring function testing function

文章编号：20040409 中图分类号： 文献标志码：

基金项目:上海市教委自然科学项目(04LB12)资助

作者	单位
李康弟	上海电力学院信息与计算科学系, 上海 200090
周亚虹	香港科技大学商学院

Author Name	Affiliation
LI Kang-di	Dept. of Information and Computing Science, Shanghai University of Electric Power, Shanghai 200090, China
ZHOU Ya-hong	Insititute of Business and Management, Hongkong University of Science and Technology University, China

引用文本：
李康弟,周亚虹.一类带小参数的非线性常微分方程的有限元素法[J].上海电力大学学报,2004,20(4):37-40.
LI Kang-di,ZHOU Ya-hong.A Finite Element Method for a Singular Perturbed Two-point Boundary Value Problem[J].Journal of Shanghai University of Electric Power,2004,20(4):37-40.