西北师范大学学报（自然科学版）Issue(5)：18-21,26,5.
求解广义 Rosenau-Kawahara 方程的一个守恒差分格式
A conservation difference scheme for generalized Rosenau-Kaw ahara equation
摘要
Abstract
The numerical solution of the initial‐boundary value problem for generalized Rosenau‐Kawahara equation is considered , and a nonlinear two‐level finite difference scheme is designed . The difference schemes simulate two conservative quantities of the problem well . The prior estimate , existence and uniqueness of the finite difference solution are also obtained . It is show n that the finite difference scheme is second‐order convergence and unconditionally stable by discrete functional analysis method . Numerical experiments verify the theoretical results .关键词
广义Rosenau-Kawahara方程/有限差分格式/守恒性/收敛性/稳定性Key words
generalized Rosenau-Kaw ahara equation/finite difference scheme/conservation/convergence/stability分类
数理科学引用本文复制引用
陈涛,胡劲松..求解广义 Rosenau-Kawahara 方程的一个守恒差分格式[J].西北师范大学学报（自然科学版）,2015,(5):18-21,26,5.基金项目
国家自然科学基金资助项目（11171239）；西华大学研究生创新基金资助课题 （）
