| 求解一类四阶奇异边值问题的新算法 |
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| 引用本文： | 贺裕,么焕民.求解一类四阶奇异边值问题的新算法[J].哈尔滨师范大学自然科学学报,2010,26(1):13-17. |
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| 作者姓名： | 贺裕 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，哈尔滨师范大学博士启动基金 |
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| 摘 要： | 在再生核空间W50,1]中求解一类四阶奇异边值,给出精确解的级数形式的精确表达式.证明近似解一致收敛于精确解.数值算例验证了算法的有效性.
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| 关 键 词： | 精确解 奇异两点边值问题 再生核空间 |
Solving Singular Boundary-value Problem of Fourth Order in the Reproducing Kernel Space |
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| He Yu,Yao Huanmin.Solving Singular Boundary-value Problem of Fourth Order in the Reproducing Kernel Space[J].Natural Science Journal of Harbin Normal University,2010,26(1):13-17. |
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| Authors: | He Yu Yao Huanmin |
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| Institution: | (Harbin Normal University) |
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| Abstract: | In this paper,a method for solving singular boundary-value problem of fourthe order in the reproducing kernel space is presented.The exact solution is represented in the form of series in the reproducing kernel space.In the mean time,the n_term approximate solution is proved to converge to the exact solution.The high precision of this method is demonstrated by the numerical examples. |
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| Keywords: | Exact solution Singular boundary value problem Reproducing kernel |
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