泊松(Poisson)方程特解的待定函数解法

Method of Undetermined Function for Finding Special Solution to Poisson Equation

针对物理学和工程技术理论中,有许多典型问题都可归结为泊松(Poisson)方程的边值问题,介绍了当泊松方程的右端函数f呈现某些特殊形式时,可用待定函数的方法寻求它的特解,从而能简便的求解泊松方程的边值问题。

Directing against many typical problems on physics and engineering technical theory, that can be reduced to the boundry value problem of Poisson equation, the description was given if the right-hand fuctionf （x, y） presents itself in some special form in Poisson equations, special solutions can be found by using undetermined function methed.Thus, the boundary value problems on Poisson equations can be simply found.