摘要
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%
出处
《重庆文理学院学报（自然科学版）》
2011年第4期15-18,共4页
Journal of Chongqing University of Arts and Sciences
关键词
一阶常微分方程(组)
显式二阶常微分方程
Vander
POL方程
初值问题
数值解法
first-order ordinary differential equations
explicit second-order differential equation
Vander Pol equation
initial value problems
numerical solution
