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| 一类线性奇异边值问题的区间分段求解 | |
| 引用本文： | 阮宗利. 一类线性奇异边值问题的区间分段求解[J]. 科学技术与工程, 2010, 10(20) |
| 作者姓名： | 阮宗利 |
| 作者单位： | 中国石油大学(华东)数学与计算科学学院,东营,257061 |
| 基金项目： | 中国石油大学(华东)自主创新科研计划项目 |
| 摘 要： | 对一类线性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.给出的数值例子说明了求解一个边界奇点问题的具体方法,其计算结果表明,该方法是有效的. |
| 关 键 词： | 奇异边值问题 可去奇点 区间分段 幂级数法 ODE解题器 |
| 收稿时间： | 2010-04-17 |
| 修稿时间： | 2010-04-30 |
Solving a Class of Linear Singular Boundary Value Problems with the Partitioning Interval Computation Method |
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| RUAN Zongli. Solving a Class of Linear Singular Boundary Value Problems with the Partitioning Interval Computation Method[J]. Science Technology and Engineering, 2010, 10(20) | |
| Authors: | RUAN Zongli |
| Abstract: | In this paper, a method for a class of linear singular boundary value problems is presented. The method can describe the singular behavior of solution exactly. The way is illustrated in detail by a numerical example in which a boundary singular point exists. The result of computation shows that the method is effective. |
| Keywords: | singular boundary value problem removable singular point partitioning interval power series method ODE solver |
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