摘要
基于用分离变量法求解一维有限区间波动方程定解问题中常见的3类非齐次边界条件,将非齐次边界条件齐次化时,常常会导致方程是非齐次化的。依据方程和边界的非齐次条件,通过判定条件,引入适当的辅助函数,获得了一种将非齐次边界条件和非齐次方程同时齐次化的求解方法。
There are three common non-homogeneous boundary conditions for the solution of wave equation in one- dimensional finite interval by using the separation of variables. The homogeneity of non-homogeneous boundary condi- tions often leads to equation non-homogeneous. According to non-homogeneous conditions of the equation and the boundary, introduces appropriate auxiliary functions by judging conditions, and obtained the homogeneous solution method for non-homogeneous boundary conditions and non-homogeneous equation.
出处
《湖南工业大学学报》
2012年第4期1-3,36,共4页
Journal of Hunan University of Technology
基金
湖南工业大学教学改革基金资助项目(2008TD4)
关键词
非齐次边界条件
非齐次方程
齐次化
non-homogeneous boundary condition
non-homogeneous equation
homogeneity
