| 一类线性内部奇点边值问题的区间分段求解 |
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| 引用本文： | 阮宗利.一类线性内部奇点边值问题的区间分段求解[J].科学技术与工程,2010,10(32). |
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| 作者姓名： | 阮宗利 |
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| 作者单位： | 中国石油大学(华东)数学与计算科学学院,东营,257061 |
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| 基金项目： | 中国石油大学（华东）自主创新科研计划项目（09CX04062A） |
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| 摘 要： | 本文对一类线性的、具有单个内部奇点的奇异边值问题采用区间分段处理，从而较好地刻画解的奇异行为。文中给出的数值例子说明了求解该类问题的具体方法与步骤，其计算结果表明，该方法是有效的。
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| 关 键 词： | 奇异边值问题 可去奇点 区间分段 幂级数法 |
| 收稿时间： | 8/21/2010 4:15:51 PM |
| 修稿时间： | 8/21/2010 4:15:51 PM |
Solving a Class of Linear and Internal Singular Boundary Value Problems with the Partitioning Interval Computation Method |
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| RUAN Zongli.Solving a Class of Linear and Internal Singular Boundary Value Problems with the Partitioning Interval Computation Method[J].Science Technology and Engineering,2010,10(32). |
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| Authors: | RUAN Zongli |
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| Institution: | RUAN Zong-li,LI Wei-guo(College of Mathematics and Computational Science,China University of Petroleum,Dongying 257061,P.R.China) |
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| Abstract: | In this paper, a method for a class of linear BVPs with single internal removable singular point is presented. The method can describe the singular behavior of solution exactly. The way is illustrated in detail by a numerical example. The result of computation shows that the method is effective. |
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| Keywords: | singular boundary value problem removable singular point partitioning interval power series method |
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