文章摘要
葛仁余ꎬ马国强ꎬ刘小双ꎬ余本源.微分求积法在常微分方程教学中的应用[J].西昌学院学报(自然科学版),2021,35(1):53-57.
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
  
DOI:
中文关键词: 微分方程ꎻ教学效果ꎻ数值方法ꎻ微分求积法微分方程ꎻ教学效果ꎻ数值方法ꎻ微分求积法
英文关键词: differential equationꎻ teaching effectꎻnumerical methodꎻ differential quadrature method
基金项目:国家级大学生创新创业训练计划项目 ( 202010363121)? 安徽工程大学本科教学质量提升计划重点项目 (2019jyxm16)?
作者单位
葛仁余ꎬ马国强ꎬ刘小双ꎬ余本源 安徽工程大学建筑工程学院ꎬ安徽 芜湖 241000 
摘要点击次数: 169
全文下载次数: 147
中文摘要:
      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ꎮ
英文摘要:
      In this paper we discuss the application of differential quadrature method in the teaching of second order ordina ̄ ry differential equations. Based on the basic idea of differential quadrature methodꎬ the two-point boundary value problem of second-order ordinary differential equation is transformed into Gauss elimination method to solve linear algebraic equa ̄ tions. Through three teaching examplesꎬ we verifies the accuracy of differential quadrature method in solving linear and nonlinear second-order ordinary differential equations in the teaching processꎬ so that students can realize that there exists a variety of methods in solving ordinary differential equations.
查看全文   查看/发表评论  下载PDF阅读器
关闭