A HIGH-ORDER PAD SCHEME FOR KORTEWEG-DE VRIES EQUATIONS  

作　　者：XU Zhen-li LIU Ru-xun 

机构地区：[1]Department of Mathematics,University of Science and Technology of China, Hefei 230026, China

出　　处：《Journal of Hydrodynamics》2005年第6期654-659,共6页水动力学研究与进展B辑（英文版）

基　　金：ProjectsupportedbytheNationalNaturalScienceFoundationofChina(GrantNos:10371118,90411009).

摘　　要：A high-order finite difference Pade scheme also called compact scheme for solving Korteweg-de Vries （KdV） equations, which preserve energy and mass conservations, was developed in this paper. This structure-preserving algorithm has been widely applied in these years for its advantage of maintaining the inherited properties. For spatial discretization, the authors obtained an implicit compact scheme by which spatial derivative terms may be approximated through combining a few knots. By some numerical examples including propagation of single soliton and interaction of two solitons, the scheme is proved to be effective.A high-order finite difference Pade scheme also called compact scheme for solving Korteweg-de Vries （KdV） equations, which preserve energy and mass conservations, was developed in this paper. This structure-preserving algorithm has been widely applied in these years for its advantage of maintaining the inherited properties. For spatial discretization, the authors obtained an implicit compact scheme by which spatial derivative terms may be approximated through combining a few knots. By some numerical examples including propagation of single soliton and interaction of two solitons, the scheme is proved to be effective.

关 键 词：Korteweg-de Vries （KdV） equation compact finite difference scheme solitory waves high order 

分 类 号：O17[理学—数学] TV131.2[理学—基础数学]