| 通过变分迭代方法解中立型消失时滞微分方程 |
| |
| 引用本文： | 李强,顾笑妍,王林君.通过变分迭代方法解中立型消失时滞微分方程[J].吉林大学学报(理学版),2011,49(1):33-36. |
| |
| 作者姓名： | 李强 顾笑妍 王林君 |
| |
| 作者单位： | 1. 吉林大学 数学学院, 长春 130012,2. 江苏大学 理学院, 江苏 镇江 212013 |
| |
| 基金项目： | 国家自然科学基金，江苏大学高级专业人才科研启动基金 |
| |
| 摘 要： | 应用变分迭代方法求解一类中立型消失时滞微分方程.通过选取适当的拉格朗日乘子,得到了求解这类问题的迭代公式,进而计算近似解.通过比较变分迭代方法和Runge-Kutta法求解具体问题的绝对误差,表明变分迭代方法是求解消失时滞微分方程的一种有效方法.
|
| 关 键 词： | 变分迭代方法 Runge-Kutta法 中立型 时滞微分方程 |
| 收稿时间： | 2010-05-18 |
Variational Iteration Method for Solving Neutral Functional Differential Equations with Vanishing Delays |
| |
| LI Qiang,GU Xiao-yan,WANG Lin-jun.Variational Iteration Method for Solving Neutral Functional Differential Equations with Vanishing Delays[J].Journal of Jilin University: Sci Ed,2011,49(1):33-36. |
| |
| Authors: | LI Qiang GU Xiao-yan WANG Lin-jun |
| |
| Institution: | 1. College of Mathematics, Jilin University, Changchun 130012, China;2. Faculty of Science, Jiangsu University, Zhenjiang 212013, Jiangsu Province, China |
| |
| Abstract: | The variational iteration method was applied to solving neutral functional differential equations with vanishing delays. After determining an appropriate Lagrange multiplier, the approximate solutions can be readily obtained. Futhermore, some illustrative examples were given to show the efficiency of the method. We also compared these results with those given byRunge Kutta method. |
| |
| Keywords: | variational iteration method Runge Kutta method neutral functional differential equations |
| 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 |
