Alternating segment explicit-implicit scheme for nonlinear third-order KdV equation  

作　　者：曲富丽 王文洽 

机构地区：[1]Accounting Department,Women's Academy at Shandong [2]School of Mathematics and System Science,Shandong University

出　　处：《Applied Mathematics and Mechanics(English Edition)》2007年第7期973-980,共8页应用数学和力学（英文版）

基　　金：Project supported by the National Natural Science Foundation of China(No.10671113);the Natural Science Foundation of Shandong Province of China(No.Y2003A04)

摘　　要：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 full 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.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 full 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.

关 键 词：KdV equation intrinsic parallelism alternating segment explicit-implicit difference scheme unconditionally linear stable 

分 类 号：O241.82[理学—计算数学]