| 关于在数学建模思想中融入二阶常微分方程的探讨 |
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| 引用本文： | 闫永芳.关于在数学建模思想中融入二阶常微分方程的探讨[J].南昌教育学院学报,2012(2):122-123. |
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| 作者姓名： | 闫永芳 |
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| 作者单位： | 晋中师范高等专科学校数学系 |
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| 摘 要： | 数学建模是现实世界的本质反应和科学抽象,它用数学语言描述研究对象的固有特性和有关因素之间的互相关系;而常微分方程是现代数学重要的一个分支,是表达事物发展过程的一种很有用的工具。该文我们主要探讨将二阶常微分方程在数学建模中的应用,针对实际问题将两者结合起来,运用二阶常微分方程进行数学建模,并用模型的结果来解释事物的现象和预测事物发展规律。
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| 关 键 词： | 数学建模 数学模型 二阶常微分方程 事物发展规律 |
To integrate the second-order ordinary differential equation into the idea of mathematical modeling |
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| Yan Yong-fang.To integrate the second-order ordinary differential equation into the idea of mathematical modeling[J].Journal of Nanchang College of Education,2012(2):122-123. |
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| Authors: | Yan Yong-fang |
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| Institution: | Yan Yong-fang(Department of Mathematics,Jinzhong Teachers College,Jinzhong Shanxi,030600,China) |
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| Abstract: | Mathematical modeling is the essence reaction and scientific abstract of the actual world,it uses mathematical language to describe the characteristics of object and related factors between mutual relations;and the ordinary differential equation is an important branch of modern mathematics,is a useful tool to express the developing process.In this paper,we mainly discuss the application of second-order ordinary differential equations in mathematical modeling,in view of the actual problems,to use second-order ordinary differential equations in mathematical modeling,and use the results to explain the phenomena and predict the law of development of things. |
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| Keywords: | mathematical modeling mathematical model second-order ordinary differential equation law of things development |
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