| 用初值问题方法求常微分方程边值问题的数值解 |
| |
| 引用本文： | 阮宗利,李洪杰,李维国. 用初值问题方法求常微分方程边值问题的数值解[J]. 中国石油大学学报(自然科学版), 2004, 28(1) |
| |
| 作者姓名： | 阮宗利 李洪杰 李维国 |
| |
| 作者单位： | 1. 石油大学应用数学系,山东东营,257061
2. 临沂师范学院数学系,山东临沂,276005 |
| |
| 摘 要： | 主要讨论了用初值问题方法的思想求解常微分方程边值问题的几种数值方法 ,包括差分法、打靶法、不动点方法和数值延拓方法 ,并对这些方法进行了对比分析。结果表明 ,用初值问题方法求边值问题是非常有效的 ,特别是不动点方法和数值延拓技术具有工作量小、节省存储单元等优点。
|
| 关 键 词： | 初值问题方法 常微分方程 边值问题 差分法 打靶法 不动点方法 延拓法 同伦映射 |
Solving boundary value problem in ordinary differential equation with the same method for solving initial value problem |
| |
| RUAN Zong-li,LI Hong-jie and LI Wei-guo. Solving boundary value problem in ordinary differential equation with the same method for solving initial value problem[J]. Journal of China University of Petroleum (Edition of Natural Sciences), 2004, 28(1) |
| |
| Authors: | RUAN Zong-li LI Hong-jie LI Wei-guo |
| |
| Affiliation: | RUAN Zong-li,LI Hong-jie and LI Wei-guo. Department of Applied Mathematics in the University of Petroleum,China,Dongying 257061 |
| |
| Abstract: | Some methods for solving initial value problem used to solve the boundary value problem (BVP) of ordinary differential equation were discussed and contrasted. These methods include the finite difference method, shooting method, fixed-point method and numerical continuation method. The study results show that these methods are very effective to solve BVP. Especially, the fixed-point method and the continuation method can save computing time and memory element. |
| |
| Keywords: | initial value problem method ordinary differential equation boundary value problem numerical solution finite difference method shooting method fixed-point method numerical continuation method homotopy mapping |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
