微分求积法在常微分方程教学中的应用

Application of Differential Quadrature Method in Ordinary Differential Equation Teaching

讨论了微分求积法在二阶常微分方程教学中的应用。基于微分求积法基本思想,将二阶常微分方程两点边值问题转化为高斯消元法求解线性代数方程组问题。通过3个教学实例,验证了微分求积法在教学过程中求解线性和非线性二阶常微分方程的精确性,让学生体会到求解方法的多样性。

In this paper we discuss the application of differential quadrature method in the teaching of second order ordinary differential equations.Based on the basic idea of differential quadrature method,the two-point boundary value problem of second-order ordinary differential equation is transformed into Gauss elimination method to solve linear algebraic equations.Through three teaching examples,we verifies the accuracy of differential quadrature method in solving linear and nonlinear second-order ordinary differential equations in the teaching process,so that students can realize that there exists a variety of methods in solving ordinary differential equations.