Rosenau-KdV方程的Crank-Nicolson守恒差分格式  

CONSERVATIVE CRANK-NICOLSON DIFFERENCE SCHEME FOR ROSENAU-KDV EQUATION

作　　者：胡劲松[1] 谢小平[2] 胡兵[2] 徐友才[2] 

机构地区：[1]西华大学理学院 [2]四川大学数学学院

出　　处：《高等学校计算数学学报》2015年第4期360-369,共10页Numerical Mathematics A Journal of Chinese Universities

基　　金：国家自然科学基金(11171239);中国科学院山地灾害与地表过程重点实验室开放基金和西华大学重点基金项目(Z1513324)

摘　　要：1 引言 本文考虑如下一类Rosenau—KdV方程的初边值问题。A two-level nonlinear Crank-Nicolson difference scheme for initial- boundary value problems of Rosenau-KdV equation is proposed. Two conservative properties of the problem are simulated well by the scheme. The prior estimate, existence and uniqueness of the solution are obtained, and the second-order con- vergence and unconditional stability of the difference scheme are also analyzed by using the energy method. Numerical experiments to verify the theoretical results are presented.

关 键 词：KDV方程 守恒差分格式 初边值问题 

分 类 号：O241.82[理学—计算数学]