| 基于三次样条函数的奇异边值问题数值解法 |
| |
| 引用本文： | 周会娟,苏俊杰,李运利.基于三次样条函数的奇异边值问题数值解法[J].佳木斯大学学报,2009,27(4):579-581. |
| |
| 作者姓名： | 周会娟 苏俊杰 李运利 |
| |
| 作者单位： | 合肥工业大学数学学院,安徽,合肥,230009 |
| |
| 基金项目： | 安徽省自然科学基金资助项目 |
| |
| 摘 要： | 利用三次样条函数求解一类奇异边值问题.首先,应用罗必达法则去除奇异性,将问题转化成标准的边值问题;其次,利用三次样条函数逼近求解标准化的边值问题;再次,利用追赶法求解用样条函数逼近所产生的三对角方程组;最后,通过数值例子来说明方法的有效性.
|
| 关 键 词： | 常微分方程 奇异边值问题 三次样条函数 奇异点 |
Cubic Spline Solution of Singular Boundary Value Problems |
| |
| ZHOU Hui-juan,SU Jun-jie,LI Yun-li.Cubic Spline Solution of Singular Boundary Value Problems[J].Journal of Jiamusi University(Natural Science Edition),2009,27(4):579-581. |
| |
| Authors: | ZHOU Hui-juan SU Jun-jie LI Yun-li |
| |
| Institution: | Institute of Mathematics;Hefei University of Technology;Hefei 230009;China |
| |
| Abstract: | In this paper,a numerical technique was developed for a class of singular boundary value problems using cubic spline.First,the problem at the singular point was modified by L'Hospital rule;next,cubic spline was used to solve the modified boundary value problem;then,Thomas algorithm was used to solve the tridiagonal system resulting from the spline approximation;and last,the algorithm was tested with examples. |
| |
| Keywords: | ordinary differential equations singular boundary value problems cubic spline singular point |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
