对称正则长波方程的两层差分方法  

Two-step Difference Method for the Symmetric Regularized Long Wave Equation

作　　者：王强[1] 何斯日古楞 

机构地区：[1]包头师范学院数学科学学院,内蒙古包头014030 [2]内蒙古大学数学科学学院,呼和浩特010021

出　　处：《内蒙古大学学报（自然科学版）》2016年第6期568-572,共5页Journal of Inner Mongolia University：Natural Science Edition

基　　金：国家自然科学基金资助项目(11501311);内蒙古自然科学基金资助项目(2014BS0101)

摘　　要：提出对称正则长波方程的一种时间和空间均二阶精度的两层有限差分格式.利用离散能量法证明了差分格式的收敛性.通过数值实验,分析格式的守恒性,对比精确解和差分格式数值解,验证了该算法的可行性和有效性.A kind of two-step finite difference scheme is given for the symmetric regularized long wave equation. This scheme has second order accuracy in space and time. The convergence of the scheme is proved by using discrete energy method. The invariants of the scheme are analyzed by nu- merical experiments ,and the feasibility and effectiveness of the scheme are confirmed through the comparison of the exact solution and difference scheme solution.

关 键 词：两层差分格式 对称正则长波方程 误差分析 数值模拟 

分 类 号：O241.82[理学—计算数学]