| 利用Laplace变换求解一维波动方程的定解问题 |
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| 引用本文： | 唐妍霞.利用Laplace变换求解一维波动方程的定解问题[J].河北北方学院学报(自然科学版),2010,26(3):16-19. |
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| 作者姓名： | 唐妍霞 |
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| 作者单位： | 河北北方学院理学院,河北,张家口,075000 |
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| 基金项目： | 河北省教育厅自然科学研究项目，张家口市2009年科学技术研究与发展指令计划项目 |
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| 摘 要： | 运用Laplace变换的概念和一些主要性质研究了波动方程的定解问题,首先运用Laplace变换将波动方程转化为代数方程,再利用周期函数的Laplace逆变换公式求出方程的解,并举例验证了Laplace变换法的简便性.
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| 关 键 词： | Laplace变换 波动方程 定解问题 |
Using Laplace Transform to Obtain Fixed Solution of One-dimensional Wave Equation |
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| TANG Yan-xia.Using Laplace Transform to Obtain Fixed Solution of One-dimensional Wave Equation[J].Journa of Hebei North University:Natural Science Edition,2010,26(3):16-19. |
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| Authors: | TANG Yan-xia |
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| Institution: | TANG Yan-xia(College of Science,Hebei North University,Zhangjiakou 075000,Hebei,China) |
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| Abstract: | Fixed problems of one-dimensional wave equation are studied using concept and some main properties of Laplace transform.First the wave equation is changed into algebraic equations using the Laplace transform;then this equation solution is extracted using the periodic function of Laplace inverse transformation formula;and finally the simplicity of Laplace transform method is confirmed through the example. |
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| Keywords: | Laplace transform wave equation fixed solution |
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