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利用Laplace变换求解一维波动方程的定解问题
Using Laplace Transform to Obtain Fixed Solution of One-dimensional Wave Equation
【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.
【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.
【基金】 河北省教育厅自然科学研究项目(2006103);张家口市2009年科学技术研究与发展指令计划项目(0911008B-3)
- 【文献出处】 河北北方学院学报(自然科学版) ,Journal of Hebei North University(Natural Science Edition) , 编辑部邮箱 ,2010年03期
- 【分类号】O175.2
- 【被引频次】3
- 【下载频次】414