一种常见类型的泊松方程的通解及其应用

Solution to A Poisson Equation and Its Application Examples

本文求解了一种常见类型的Poisson方程,给出了级数形式的通解。这种Poisson方程对解决某些实际问题如传热学、流体力学和电磁学方面的问题是非常有用的。为了说明如何应用本文给出的通解,还列举了例题。

This paper has solved a kind of Poisson equation and given its general integral in the form of series. The Poisson equation is very useful for solving some problems, such as heat transfer, fluid mechanics and electromagnetics. To explain the applications of the general integral, two examples are also offered.