High-order compact difference method for solving two dimensional wave equation
二维波动方程的一种高精度紧致差分方法

This paper gave out a better solution to a high-order compact difference method of the two-dimensional wave equation.Firstly,this method obtained numerical results on different size meshes by using a high order alternating direction implicit(ADI) difference scheme,which were of order O(τ2+h4),then got an O(τ4+h6) accuracy solution via the Richardson extrapolation method.The numerical experiments demonstrate the high accuracy,efficiency and dependability of the method.