| 一类二阶线性常微分方程两点边值问题的数值解 |
| |
| 引用本文： | 雍龙泉,刘三阳,熊文涛,迟晓妮.一类二阶线性常微分方程两点边值问题的数值解[J].吉林大学学报(理学版),2015,53(1):15-20. |
| |
| 作者姓名： | 雍龙泉 刘三阳 熊文涛 迟晓妮 |
| |
| 作者单位： | 1. 西安电子科技大学 数学与统计学院, 西安 710071;2. 陕西理工学院 数学与计算机科学学院, 陕西 汉中 723001;3. 湖北工程学院 数学与统计学院, 湖北 孝感 432000;4. 桂林电子科技大学 数学与计算科学学院, 广西 桂林 541004 |
| |
| 基金项目： | 国家自然科学基金，陕西省汉中市科技发展专项计划项目，湖北省教育厅科研项目，西安电子科技大学研究生创新基金 |
| |
| 摘 要： | 采用有限差分法,将一类二阶线性常微分方程两点边值问题转化为绝对值方程,并给出了一个迭代算法,证明了算法的收敛性.数值实验结果表明,该方法迭代次数少、精度高.
|
| 关 键 词： | 二阶线性常微分方程 两点边值问题 有限差分法 绝对值方程 迭代算法 |
| 收稿时间： | 2014-03-24 |
Numerical Solution for Two-Point Boundary Value Problem of Second-Order Linear Ordinary Differential Equation |
| |
| YONG Longquan,LIU Sanyang,XIONG Wentao,CHI Xiaoni.Numerical Solution for Two-Point Boundary Value Problem of Second-Order Linear Ordinary Differential Equation[J].Journal of Jilin University: Sci Ed,2015,53(1):15-20. |
| |
| Authors: | YONG Longquan LIU Sanyang XIONG Wentao CHI Xiaoni |
| |
| Institution: | 1. School of Mathematics and Statistics, Xidian University, Xi’an 710071, China; 2. School of Mathematicsand Computer Science, Shaanxi University of Technology, Hanzhong 723001, Shaanxi Province, China;3. School of Mathematics and Statistics, Hubei Engineering University, Xiaogan 432000, Hubei Province, China;4. School of Mathematics and Computational Science, Guilin University of Electronic Technology, Guilin 541004, Guangxi Zhuang Autonomous Region, China |
| |
| Abstract: | A class of second order linear ordinary differential equation with two point boundary value problem was transfered into absolute value equation via finite difference method, and an iterative method was proposed, then the convergence analysis was given. Numerical experiments show that this method has the advantages of less number of iterations and high precision. |
| |
| Keywords: | second-order linear ordinary differential equation two-point boundary value problem finite difference method absolute value equation iterative method |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
| 点击此处可从《吉林大学学报(理学版)》浏览原始摘要信息 |
| 点击此处可从《吉林大学学报(理学版)》下载免费的PDF全文 |
|
