| 一类二阶奇异摄动边值问题的再生核方法 |
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| 引用本文： | 宋静华,徐美松,么焕民.一类二阶奇异摄动边值问题的再生核方法[J].哈尔滨师范大学自然科学学报,2010,26(4):47-49. |
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| 作者姓名： | 宋静华 徐美松 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： | 哈尔滨师范大学博士启动基金资助项目 |
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| 摘 要： | 在再生核空间W30,1]中给出了求解二阶奇异摄动边值问题的数值逼近方法,该算法给出了方程的精确解表达式和近似解级数形式,证明了近似解一致收敛于精确解.数值算例验证了该方法的有效性.
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| 关 键 词： | 奇异摄动边值问题 再生核空间 精确解 |
Reproducing a Class of Two-order Singularly Perturbed Boundary Value Problems |
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| Song Jinghua,Xu Meisong,Yao Huanmin.Reproducing a Class of Two-order Singularly Perturbed Boundary Value Problems[J].Natural Science Journal of Harbin Normal University,2010,26(4):47-49. |
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| Authors: | Song Jinghua Xu Meisong Yao Huanmin |
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| Institution: | (Harbin Normal University) |
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| Abstract: | This paper presents an algorithm to solve a class of tow-order singularly perturbed boundary value problem.The exact solution and approximate solution are given in series form,and the approximate solution is proved to converge to the exact solution.Numerical examples verified that the method is efficient. |
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| Keywords: | Singularly perturbed boundary value problems Reproducing kernel space Exact solution |
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