求解二维波动方程初边值问题的显隐混合校正并行算法

Explicit-Implicit Alternate Difference Parallel Algorithm with Corrector for Two-Dimensional Wave Equation

提出了一种基于区域分解法的显隐混合校正并行算法.通过对二维波动方程的数值试验,发现该算法具有无条件稳定性,其数值计算结果与整个区域上采用隐格式的计算结果相当,计算精度明显好于Kuznetson算法和改进的Kuznetson算法,计算时间也比Kuznetson算法和改进的Kuznetson算法的时间少,且小于隐格式计算时间的一半.

Explicit-implicit alternate difference parallel algorithm with corrector is introduced in this paper. This algorithm is based on domain decomposition method. Through some numerical experiments of two-dimensional wave equation, it is shown that this algorithm is stable and its results are as many as those of the implicit algorithm and the results are much better than those of the Kuznetson algorithm and the improved Kuznetson algorithm. The computing time is less than that of the Kuznetson algorithm and the improved Kuznetson algorithm, and even less than half of the implicit algorithm＇s computing time.