运动微分方程数值求解的一般方法分析  

Analysis of general methods for numerical solution of differential equations of motion

作　　者：贾小文 JIA Xiao-wen(General Course Department,Military Transportation University,Tianjin,300161,China)

机构地区：[1]陆军军事交通学院基础部,天津300161

出　　处：《大学物理》2024年第3期13-19,共7页College Physics

摘　　要：分析了常见物体运动微分方程的建立过程以及利用科学软件对方程数值求解的技术基础,对撒克逊碗、磁场中的弹簧摆和三摆混沌系统进行了数值求解和分析讨论,给出了解决这类问题的一般思路和方法步骤.The establishment process of differential equations of motion for physical models and the technical basis for numerical solution of the equations are analyzed.The numerical solution and analysis of the Saxon bowl,the spring pendulum in a magnetic field,and the three pendulum chaotic system are discussed.The general ideas and methods for solving the problem are given.

关 键 词：微分方程 数值求解 科学软件 

分 类 号：O316[理学—一般力学与力学基础] O4-39[理学—力学]