利用Fourier变换求解热传导方程的定解问题

Using Fourier Transform to Solve Fixed Solution Problems of Heat Conduction Equations

利用Fourier变换的一些重要性质,可以方便地求解某些偏微分方程的定解问题。这里就一维热传导方程的定解问题作为实例给出具体求解过程,并且总结出利用Fourier变换求定解问题时方程所满足的条件。

By using some important properties of Fourier Transform,fixed solution problems of some partial differential equations can be solved easily.Examples on problem solving process of one-dimensional heat conduction equations are listed here,Conditions needed for Fixed Solution Problem solving are concluded.