Accounting Department, Women's Academy at Shandong, Jinan 250300, P. R. China;School of Mathematics and System Science, Shandong University, Jinan 250100, P. R. China Communicated by ZHANG Hong-qing
Abstract:
A group of asymmetric difference schemes to approach the Korteweg-de Vries(KdV)equation is given here.According to such schemes,the full explicit difference scheme and the fun implicit one,an alternating segment explicit-implicit difference scheme for solving the KdV equation is constructed.The scheme is linear unconditionally stable by the analysis of linearization procedure,and is used directly on the parallel computer. The numerical experiments show that the method has high accuracy.