摘要
在"微分方程数值解"的教学过程中,选取一类典型的微分方程(如:热传导方程)作为重点进行精讲:首先讲授该方程的建模思想、数值求解方法,再理论分析数值解法的稳定性和收敛性,随后详细指导学生编程并上机实现数值解法,避免学生"杂而不精";最后在课堂上会对多数微分方程进行泛讲,指导学生充分利用课余时间探索方程的相关知识,培养学生的自学能力和创新能力。
A typical differential equation such as the heat conduction equation is firstly detailed,in the teaching process,with presentations of its modeling idea, numerical schemes,stability and convergence analysis for the schemes,and numerical tests：other differential equations are briefly presented afterwards;students are finally instructed to fully utilize their spare time to investigate results of the related equations,which heips to cultivate their self--study and innovation abilities.
出处
《科技创新导报》
2016年第7期155-156,158,共3页
Science and Technology Innovation Herald
关键词
微分方程数值解
教学模式
教学实践
Numerical solution of differential equations
Teaching mode
Teaching practice
