| 求解波动方程混合问题的通解函数延拓法 |
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| 引用本文： | 赵天玉,毛战军. 求解波动方程混合问题的通解函数延拓法[J]. 长江大学学报, 2005, 2(1): 4-7,i001 |
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| 作者姓名： | 赵天玉 毛战军 |
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| 作者单位： | 长江大学信息与数学学院,湖北,荆州,434023;长江大学信息与数学学院,湖北,荆州,434023 |
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| 摘 要： | 采用通解函数延拓法,即呆用特征线分割求解区域,然后利用边界条件,对波动方程的通解函数进行延拓,使得通解函数在求解区域内有定义,进而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 通解 延拓 |
| 文章编号： | 1673-1409(2005)01-0004-04 |
A General Solution Function Extending Method for Solving Mixed Problems of Wave Equation |
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| ZHAO Tian-yu,MAO Zhan-jun. A General Solution Function Extending Method for Solving Mixed Problems of Wave Equation[J]. Journal of Yangtze University, 2005, 2(1): 4-7,i001 |
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| Authors: | ZHAO Tian-yu MAO Zhan-jun |
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| Abstract: | Decoupling variable method is used in tradition to solve the mixed problems of one-dimensional wave equation and derive Fourier series solution. It is proposed that a general solution function extending method is used, which is the feature lines for dividing the solving domain, and then the general solution function of wave equation is extended to establish the definition in the solving domain by using boundary conditions, thus to give the explicit expression of the solution to the problems. |
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| Keywords: | wave equation feature line general solution extension |
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