| 求解波动方程混合问题的曲线积分法 |
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| 引用本文： | 赵天玉.求解波动方程混合问题的曲线积分法[J].长沙大学学报,2005,19(2):1-3,21. |
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| 作者姓名： | 赵天玉 |
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| 作者单位： | 长江大学信息与数学学院,湖北,荆州,434023 |
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| 摘 要： | 传统的求解一维波动方程混合问题的方法是分离变量法,进而求出该问题的Fourier级数解.本文首先用特征线将求解区域分割成若干个小区域,然后在每个小区域内用曲线积分法求出该问题的解,最终给出该问题在求解区域内解的显式表达式.
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| 关 键 词： | 波动方程 特征线 曲线积分 |
| 文章编号： | 1008-4681(2005)05-0001-03 |
A Curvilinear Integration Method to Solve the Mixed Problem of Wave Equation |
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| Zhao Tianyu.A Curvilinear Integration Method to Solve the Mixed Problem of Wave Equation[J].Journal of Changsha University,2005,19(2):1-3,21. |
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| Authors: | Zhao Tianyu |
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| Abstract: | The traditional method to solve the mixed problem of one-dimensional wave equation is the decoupling variable method, then one gets a Fourier series solution. In this paper, curvilinear integration method is used to find the solution by dividing the domain into several smaller domain by characteristic line and then in each domain, the solution can be found by curvilinear integration method. Finally the explicit expression of the solution to this problem can be drawn in the solution finding domain. |
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| Keywords: | wave equation characteristic line curvilinear integration |
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