关于在数学建模思想中融入二阶常微分方程的探讨

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。

To integrate the second-order ordinary differential equation into the idea of mathematical modeling

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.