| 一类奇异微分方程边值问题的数值方法 |
| |
| 引用本文： | 杜广环,朱捷.一类奇异微分方程边值问题的数值方法[J].哈尔滨师范大学自然科学学报,2011,27(5):15-17. |
| |
| 作者姓名： | 杜广环 朱捷 |
| |
| 作者单位： | 黑龙江科技学院 |
| |
| 基金项目： | 黑龙江省教育厅科学技术研究项目 |
| |
| 摘 要： | 在再生核空间中讨论一类二阶奇异微分方程两点边值问题.研究方程解存在的充分性和解唯一的必要性,建立解的精确表达式,获得近似解的求解方法,数值模拟结果说明该方法的有效性.
|
| 关 键 词： | 奇异微分方程 边值问题 再生核空间 |
Numerical Method for a Class of Singular Boundary Value Problems of Differential Equations |
| |
| Du Guanghuan,Zhu Jie.Numerical Method for a Class of Singular Boundary Value Problems of Differential Equations[J].Natural Science Journal of Harbin Normal University,2011,27(5):15-17. |
| |
| Authors: | Du Guanghuan Zhu Jie |
| |
| Institution: | (Heilongiiang Institute of Scienc and Technology) |
| |
| Abstract: | In this paper, a class of singular two - point boundary value problems （BVPs） of second - order ordinary differential equations in the reproducing kernel space is discussed . A sufficient condition which guarantee the existence of solution is discussed and a necessary condition for uniqueness of solution is established . Moreover, the exact representation of the solution of the singular BVPs is presented and a algorithm is given to solve this kind of equations. The numerical experiments are displayed to demonstrate the validity of the method. |
| |
| Keywords: | Singular Differential Equation Boundary Value Problem Reproducing Kernel Space |
| 本文献已被 维普 万方数据 等数据库收录！ |
