| 多约束二阶非线性常微分方程极值点的数值求解法 |
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| 引用本文： | 杜志明,冯长根.多约束二阶非线性常微分方程极值点的数值求解法[J].数学的实践与认识,2002,32(1):109-113. |
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| 作者姓名： | 杜志明 冯长根 |
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| 作者单位： | 北京理工大学机电工程学院,北京,100081 |
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| 摘 要： | 本文对科学研究和工程应用问题中常见的多约束二阶非线性常微分方程的极值点进行了讨论 ,提出了一种数值解法 .以带有化学反应项的热传导方程为例 ,给出了相应的计算结果 .
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| 关 键 词： | 非线性 常微分方程 极值 数值方法 热传导方程 |
| 修稿时间： | 1999年11月19 |
Numerical Method of Extreme Value of Second NonlinearOrdinary Differential Equations with Constraints |
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| DU Zhi-ming,FENG Chang-gen.Numerical Method of Extreme Value of Second NonlinearOrdinary Differential Equations with Constraints[J].Mathematics in Practice and Theory,2002,32(1):109-113. |
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| Authors: | DU Zhi-ming FENG Chang-gen |
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| Abstract: | The extreme value of second nonlinear ordinary differential equations with constraints which are seen much in scientific reseaches and on engineering projects, is discussed in this paper. A numerical method is introduced to solving this problem. As an example, numerical solutions at extreme value point on a heat conduction equation with a chemical reaction item, are given out. |
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| Keywords: | noninear ordinary differential equation extreme value numerical method heat conduction equation |
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