常微分方程数值求解的FFT方法

The Method to Solve Normal Differential Equations by FFT

本文讨论了用快速付里叶变换求微分方程数值解的方法问题，提出了对一般微分方程求解中的吉布斯现象的消除方法，即将解分解成一部分具有周期性连续的解和一部分易于用解析法求得的解。理论和算例表明，方法是可行的。

Abstract The problems in finding numerical solutions of normal differential equations by FFT method are discussed.The methods to climinate Gibbs phenomenon.by separating the unknown function into a continucous periodic part and another part which is easy to obtain analytic form,are given.Theory and examples show that the method is successful.