一种求解RLW方程的紧致差分格式  

A compact difference scheme for solving RLW equation

作　　者：孙建安[1] 吴广智[1] 贾伟[1] 

机构地区：[1]西北师范大学物理与电子工程学院,甘肃兰州730070

出　　处：《西北师范大学学报（自然科学版）》2015年第4期38-41,共4页Journal of Northwest Normal University(Natural Science)

基　　金：国家自然科学基金资助项目(10875098)

摘　　要：利用紧致有限差分方法进行空间离散,龙格库塔方法进行时间离散,建立了一种求解RLW方程的数值格式,较好地解决了对空间与时间混合导数项的离散问题,并在空间和时间上都保持了高阶精度.所得数值结果证实了该数值格式具有较高的精度.A compact difference scheme is established for solving the regularized long wave equation by using the compact difference method in space discretion and the Runge-Kutta method in time discretion,the mixed derivative is skillfully treated and the higher order accuracy is maintained both in space and time.It is confirmed that the numerical solutions obtained from the scheme are with extremely high accurate.

关 键 词：紧致有限差分方法 龙格库塔方法 RLW方程 数值解 

分 类 号：O411.1[理学—理论物理]