A new point is proposed to solve two-dimensional wave equation on square space region, and applying skew direction difference schemes leads to a calss of explicit parallel difference methods, which can be very cheaper to solve in practice.

• 对于二维波动方程初边值问题，提出了一种新的求解思想，利用斜向隐式差分格式和边界条件，巧妙地设计出一类显式计算的并行算法。