A compact type high-order difference method based on symmetry undetermined coefficient is presented for the solution of the two dimensional Poisson equation.

• 利用对称性和待定系数的基本思想,提出了数值求解泊松方程的一种新的高阶紧致差分方法,构造了二维泊松方程的四阶和六阶紧致差分格式。