摘要
围绕微分方程方向场这个核心概念,利用MATLAB求解微分方程的优势,得到了求解微分方程初值解、微分方程方向场等各种算法的程序实现,实现了MATLAB仿真工具箱设计,利用图形用户界面(GUI)方法,设计了良好的人-机交互系统的主界面,最后给出了实际例子的程序运行结果,对推动微分方程在具体实践中的应用和普及,具有实际意义。
Based on the differential equation of orientation field this core concept, use MATLAB to solve differential equations is obtained for the advantage, differential equation, differential equation solution line and other field algorithm program, realized the MATLAB simulation toolbox for the design, the use of graphical user interface （ GUI ） method, design a good man - machine interaction system the main interface, finally gives the practical examples of the program running results, to promote the differential equation in the specific application and popularization, has practical significance.
关键词
微分方程
方向场
MATLAB
仿真
工具箱
differential equation
orientation field
MATLAB
simulation
matlab toolbox
