高维波动方程与热传导方程非齐次边界条件的一般处理  

General treatment of inhomogeneous boundary conditions for equations of wave motion or heat conduction in higher dimensions

作　　者：林琼桂[1] 

机构地区：[1]中山大学物理学院,广东广州510275

出　　处：《大学物理》2016年第5期1-4,7,共5页College Physics

基　　金：国家自然科学基金项目(11175268)资助

摘　　要：对于具有非齐次边界条件的高维(二维或三维)波动方程或热传导方程定解问题,构造了辅助定解问题,借助其解可以将原问题的边界条件齐次化.该方法具有普遍性和可操作性.用该方法求解了两个实例.For any well-posed problem of the equation of wave motion or heat conduction with inhomogeneous boundary conditions in higher（two or three）dimensions,an auxiliary problem is proposed. Using the solution of the latter,the original problem is transformed to one with homogeneous boundary conditions. This method for solving problems with inhomogeneous boundary conditions is widely applicable and easy to follow. Solutions for two examples are presented.

关 键 词：波动方程 热传导方程 非齐次边界条件 辅助定解问题 

分 类 号：O411.1[理学—理论物理]