浅析数学物理方程求解中的延拓思想——以波动方程为例  

Analysis on the Extension Method of Solving Mathematical Physics Equations

作　　者：苏新卫[1] SU Xin-wei(Department of Mathematics, School of Science, China University of Mining and Technology, Beijing 100083 ,China)

机构地区：[1]中国矿业大学(北京)理学院数学系,北京100083

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)

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.

关 键 词：波动方程 达朗贝尔公式 齐次化 延拓 

分 类 号：O175.24[理学—数学]