| 求解一类二阶奇异摄动两点边值问题 |
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| 引用本文： | 张晓蕾,么焕民.求解一类二阶奇异摄动两点边值问题[J].哈尔滨师范大学自然科学学报,2009,25(6):17-19. |
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| 作者姓名： | 张晓蕾 么焕民 |
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| 作者单位： | 哈尔滨师范大学 |
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| 基金项目： | 黑龙江省自然科学基金，黑龙江省教育厅骨干教师计划项目，哈师大博士启动基金资助项目 |
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| 摘 要： | 在再生核空间W30,1]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.
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| 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 |
Solving a class of 2-order Singularly Perturbed Two Point Boundary Value Problems |
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| Zhang Xiaolei,Yao Huanmin.Solving a class of 2-order Singularly Perturbed Two Point Boundary Value Problems[J].Natural Science Journal of Harbin Normal University,2009,25(6):17-19. |
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| Authors: | Zhang Xiaolei Yao Huanmin |
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| Institution: | (Harbin Normal University) |
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| Abstract: | 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. |
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| Keywords: | Singularly perturbed two point boundary value problems Differential equations Reproducing kernel space Exact solution |
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