General Improved KdV方程的三层加权平均线性差分格式  

Three-level average linear difference scheme for the general improved KdV equation

作　　者：赵红伟[1] 胡兵[1] 郑茂波[2] 

机构地区：[1]四川大学数学学院,成都610064 [2]成都工业学院,成都611730

出　　处：《四川大学学报（自然科学版）》2017年第1期12-18,共7页Journal of Sichuan University(Natural Science Edition)

摘　　要：本文对广义Improved KdV方程的初边值问题进行了数值研究,提出了一个三层加权平均线性差分格式,分析了差分解的存在唯一性,证明了格式的二阶收敛性和稳定性.数值实验验证了差分格式的有效性.In this paper, a numerical method for an initial-boundary value problem of the general Improved KdV equation is considered. A three-level average linear-implicit finite difference scheme is proposed and the existence and uniqueness are discussed. It is shown that the finite difference scheme is of second-order convergence and unconditionally stable. Numerical experiments verify the theoretical results.

关 键 词：GIKdV方程 线性差分格式 收敛性 稳定性 

分 类 号：O241.82[理学—计算数学]