求解一类二阶奇异摄动两点边值问题  

Solving a class of 2-order Singularly Perturbed Two Point Boundary Value Problems

作　　者：张晓蕾[1] 么焕民[1] 

机构地区：[1]哈尔滨师范大学

出　　处：《哈尔滨师范大学自然科学学报》2009年第6期17-19,共3页Natural Science Journal of Harbin Normal University

基　　金：黑龙江省自然科学基金(A2007-11);黑龙江省教育厅骨干教师计划项目(1151G019);哈师大博士启动基金资助项目(KGB200901)

摘　　要：在再生核空间W3[0,1]中研究一类二阶奇异摄动两点边值问题的新的数值逼近方法,给出了这类方程精确解的表达式,证明了近似解的误差随着结点数的增加而单调递减.数值算例验证了算法的有效性.In this paper,we present a new algorithm to solve a class of 2-order singularly perturbed two point boundary value problems in the reproducing kernel.The representation of the exact solution is given in the series form.It is proved that the errors of the approximate solution are monotone decreasing by the increasing nodes.Numerical examples that this algorithm is of high precision.

关 键 词：奇异摄动两点边值问题 微分方程 再生核空间 精确解 

分 类 号：O175.8[理学—数学]