| 半无界奇异边值问题Laguerre谱配置方法 |
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| 引用本文： | 张琼,周绮娴,曹向阳.半无界奇异边值问题Laguerre谱配置方法[J].南阳师范学院学报,2014(12):4-7. |
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| 作者姓名： | 张琼 周绮娴 曹向阳 |
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| 作者单位： | 河南科技大学数学与统计学院 |
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| 基金项目： | 国家自然科学基金(11371123);河南省教育厅自然科学基金(14B110021);河南科技大学SRTP项目(2013138) |
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| 摘 要： | 以Laguerre-Gauss-Radau节点为配置点,利用广义Laguerre谱配置方法求数值解,逼近半无界常微分方程奇异边值问题的正确解.给出算法格式和相应的数值例子,表明所提算法格式的有效性和高精度.这里所用方法也可用于求解其他奇异问题.
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| 关 键 词： | 常微分方程 奇异边值问题 半无界区间 广义Laguerre谱配置方法 Laguerre-Gauss-Radau节点 |
Laguerre spectral collocation method for singular boundary problems on a semi-infinite interval |
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| ZHANG Qiong;ZHOU Qi-xian;CAO Xiang-yang.Laguerre spectral collocation method for singular boundary problems on a semi-infinite interval[J].Journal of Nanyang Teachers College,2014(12):4-7. |
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| Authors: | ZHANG Qiong;ZHOU Qi-xian;CAO Xiang-yang |
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| Institution: | ZHANG Qiong;ZHOU Qi-xian;CAO Xiang-yang;College of Mathematics & Statistics,Henan University of Science & Technology; |
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| Abstract: | This paper deals with the numerical solutions of the singular boundary problems with homogeneous Neumann boundary conditions on a semi-infinite interval. Laguerre-Gauss-Radua nodes are used to construct the Nth degree Lagrange interpolation function to approximate the solution of the ordinary differential equation on a semi-infinite interval and the efficient algorithms are implemented. Numerical results demonstrate its efficiency and high accuracy of this approach. In additions the suggested algorithms can also be used to deal with other sin- gular problem on a semi-infinite interval. |
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| Keywords: | ordinary differential equation singular boundary problems semi-infinite interval generalized Laguerre spectral collocation methods Laguerre-Gauss-Radua nodes |
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