摘要
应用延拓方法和无界波动方程定解问题的达朗贝尔公式,求解半无界波动方程的定解问题,其中的边界条件分别为第一类和第二类非齐次型.旨在拓宽学生的解题思路,使学生灵活掌握解题方法,并为《数学物理方程》课程的教学提供些许参考.
Applying the extension method and D＇Alembert formula about the unbounded problem of wave equations, we solve the wave equations on semi-infinite interval, in which the boundary conditions are non-homogeneous types of the first and the second class respectively. The aims of this paper are to broaden the students＇ problem-solving ideas and enable students to master the problem-solving methods. We expect that this paper can offer some advice for the teaching of mathematical physics equations.
作者
苏新卫
SU Xin-wei(Department of Mathematics, School of Science, China University of Mining and Technology, Beijing 100083 ,China)
出处
《大学数学》
2016年第5期92-95,共4页
College Mathematics
基金
中国矿业大学(北京)课程建设与教改项目(K150702)
国家自然科学基金项目(11371364)
关键词
波动方程
达朗贝尔公式
齐次化
延拓
wave equation
D＇Alembert formula
homogenization
extension
