| 求解奇异边值问题的一种三次样条方法 |
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| 引用本文： | 王敏. 求解奇异边值问题的一种三次样条方法[J]. 西南民族学院学报(自然科学版), 2009, 35(3): 469-471 |
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| 作者姓名： | 王敏 |
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| 作者单位： | 三峡大学理学院,湖北宜昌443002 |
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| 摘 要： | 构造了一种三次样条．借助该样条求解一类奇异边值问题．首先，应用罗必达法则去除奇异性，将问题转化为标准的边值问题；然后，构造一种三次样条求解标准化后的边值问题；最后，对几个算例进行数据模拟．
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| 关 键 词： | 常微分方程 奇异边值问题 三次样条方法 |
A cubic spline solution to singular two-point boundary value problems |
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| WANG Min. A cubic spline solution to singular two-point boundary value problems[J]. Journal of Southwest Nationalities College(Natural Science Edition), 2009, 35(3): 469-471 |
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| Authors: | WANG Min |
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| Affiliation: | WANG Min (School of Science, China Three Gorges Uniersity; Yichang Hubei 443002, P. R. C.) |
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| Abstract: | This article proposes a method based on a kind of cubic spline for solving singular two-point boundary value problems. First, modifying the problem at the singular point by L＇Hospital rule, Next, formulating a cubic spline to solve the modified boundary value problem.. The algorithm is tested on three model problems. |
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| Keywords: | singular two-point boundary problem cubic spline |
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