关于两类Poisson方程的求解方法

Solutions for Two Kinds of Poisson Equation

本文用构造函数序列的方法和待定系数法获得了两类Poisson 方程的级数形式的解答。这两类 Poisson 方程对解决某些工程实际问题是非常有用的。由于所得解答是方程的通解,故它们有比较广泛的适用性。另外,本文所采用的方法是具有典型性的,最后给出若干个计算实例。

This paper has solved two kinds of Poisson equations by using the methods of constructing function series and undetermined coefficients. These solutions of Poisson equations are very useful for some engineering problems.The obtained solutions are general integral,so they have wide adaPtabilitY.The adoptive methods have typicalities.At the last,several examples are given.