解二维波动方程的一类有限差分并行算法

摘要

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. This form of parallelism also can be applied to other two-dimensional initial boundary value problems. An example is presented to illustrate practicality and usefulness of this parallel method.%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。这种思想也可用于求解其它方程的二维初边值问题。文末的数值算例表明，本方法具有良好的实用性。