常微分方程常用的数值算法及其应用

Numerical Algorithms for Ordinary Differential Equations and Application

本文主要利用了MATLAB软件对常用的常微分方程数值解法编程实现,如欧拉法和经典的四阶龙格库塔算法,通过相应的数值算例的结果,分析了两种算法的优缺点。最后我们把算法应用到了一个具体的实例,分别用欧拉法和经典的四阶龙格库塔法进行求解并对计算结果做了比较。

In this paper, we mainly use MATLAB software to program the numerical solution of ordinary differential equation, such as Euler method and classical fourth-order Runge Kutta algorithm. Through the results of corresponding numerical example, we analyze the advantages and disadvantages of these two algorithms. Finally, we apply those algorithms to a concrete example;we solve it and compare the results.