| 浅析Laplace变换应用于初值问题 |
| |
| 引用本文： | 胡轶.浅析Laplace变换应用于初值问题[J].太原教育学院学报,2007(2). |
| |
| 作者姓名： | 胡轶 |
| |
| 作者单位： | 太原大学教育学院 山西太原030001 |
| |
| 摘 要： | 通过研究Laplace变换在初值问题中的应用,且拟解决线性微分方程的初值问题。我们知道Laplace变换求解初值问题比其他方法条件宽泛方便。用Laplace变换法可把原函数所遵从的常系数微分方程变成像函数所遵从的代数方程来进行求解;把偏微分方程变成常系数微分方程,然后进行求解。
|
| 关 键 词： | Laplace变换 初值问题 原函数 像函数 反演 |
A Brief on Appication of Laplace Transforms to Initial Value |
| |
| HU Yi.A Brief on Appication of Laplace Transforms to Initial Value[J].Journal of Taiyuan Institute of Education,2007(2). |
| |
| Authors: | HU Yi |
| |
| Abstract: | The essay studies mainly on application of Laplace transforms to initial value,and solves the problem on initial value of linear differential equation.We know the method of solving the initial value by Laplace transforms is convenient and extensive than many other methods.At first,we can transform the ordinary differential equation of original function into the algebraic equation of image function,or transform the partial differential equation into ordinary differential equation by Laplace transforms method,then solve it. |
| |
| Keywords: | Laplace transforms initial value question original function image function inversion |
| 本文献已被 CNKI 等数据库收录！ |
