一种新的常微分方程初值问题数值解法

A new numerical solution for ordinary differential equations

有别于传统的常微分方程数值解法,从一个新的角度出发提供一套新的求解常微分方程初值问题的数值计算方法;通过对一阶常微分方程(组)、二阶常微分方程和Vander Pol方程的求解验证了方法的正确性,数值解与解析解相对误差小于0.5%.

In this article,a new numerical solution of ordinary differential equations,which was different from the traditional numerical solutions,was presented.We would solve the problems such as first-order ordinary differential equations,explicit second-order differential equation and Vander Pol equation by this new method.And the relative errors were less than 0.5%