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| 一种基于线性规划的线性非自治系统数值解法 | |
| 引用本文： | 景元萍,张永胜. 一种基于线性规划的线性非自治系统数值解法[J]. 河南科学, 2012, 30(5): 552-555 |
| 作者姓名： | 景元萍 张永胜 |
| 作者单位： | 洛阳理工学院数理系,河南洛阳,471023 |
| 基金项目： | 河南省自然科学基金，河南省杰出青年基金 |
| 摘 要： | 对于具有初始条件的线性非自治系统,给出了一种新的数值解法.该方法把所求初值问题转化成线性规划问题,通过求解线性规划问题得到原问题的一个近似解.定量误差分析和实际算例表明,该方法可以有效地求解线性非自治系统初值问题的近似解,也适用于边值问题的近似求解. |
| 关 键 词： | 线性非自治系统 初值问题 离散化 线性规划 |
A Numerical Method for Solving Linear Non-autonomous Systems Based on Linear Programming |
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| Jing Yuanping , Zhang Yongsheng. A Numerical Method for Solving Linear Non-autonomous Systems Based on Linear Programming[J]. Henan Science, 2012, 30(5): 552-555 | |
| Authors: | Jing Yuanping Zhang Yongsheng |
| Affiliation: | (Department of Mathematics and Physics,Luoyang Institute of Science and Technology,Luoyang 471023,Henan China) |
| Abstract: | A novel solution method is proposed for solving linear non-autonomous systems with an initial condition.Using this method,the initial value problem is transformed into a linear programming problem,and an approximate solution for the initial problem is obtained by solving the linear programming.Quantitative error analysis and the practical example show that the method can solve the approximate solution of the initial value problems of linear non-autonomous systems,and it is also suitable for the boundary-value problem. |
| Keywords: | non-autonomous linear system initial value problem discretization linear programming |
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