| 一维有限区间波动方程定解问题的一种求解方法 |
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| 引用本文： | 朱善华,贺 希,傅学正,柳闻鹃.一维有限区间波动方程定解问题的一种求解方法[J].湖南工业大学学报,2012,26(4):1-3. |
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| 作者姓名： | 朱善华 贺 希 傅学正 柳闻鹃 |
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| 作者单位： | 湖南工业大学理学院,湖南株洲,412007 |
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| 基金项目： | 湖南工业大学教学改革基金资助项目（2008TD4） |
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| 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。
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| 关 键 词： | 非齐次边界条件 非齐次方程 齐次化 |
| 收稿时间： | 2012/6/13 0:00:00 |
A Solution for Wave Equation in One-Dimensional Finite Interval |
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| Zhu Shanhu,He Xi,Fu Xuezheng and Liu Wenjuan.A Solution for Wave Equation in One-Dimensional Finite Interval[J].Journal of Hnnnan University of Technology,2012,26(4):1-3. |
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| Authors: | Zhu Shanhu He Xi Fu Xuezheng and Liu Wenjuan |
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| Affiliation: | (School of Science,Hunan University of Technology,Zhuzhou Hunan 412007,China) |
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| Abstract: | 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 conditions 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. |
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| Keywords: | non-homogeneous boundary condition non-homogeneous equation homogeneity |
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