RLW方程的高精度守恒紧致差分格式  

High-order conservative compact difference scheme for solving the RLW equation

作　　者：钟瑞华 王晓峰 宋岩 邓雅清 ZHONG Ruihua;WANG Xiaofeng;SONG Yang;Deng Yaqing(School of Mathematics and Statistics,Minnan Normal University,363000,Zhangzhou,Fujian,PRC)

机构地区：[1]闽南师范大学数学与统计学院,福建省漳州市363000

出　　处：《曲阜师范大学学报（自然科学版）》2022年第2期40-46,共7页Journal of Qufu Normal University(Natural Science)

基　　金：福建省中青年教师教育科研项目资助(JAT190368);福建省自然科学基金(2020J01796)。

摘　　要：对RLW方程提出一个高精度守恒紧致差分格式,所建格式满足离散质量守恒和能量守恒,在时间上为二阶精度,在空间上为四阶精度.用离散能量法证明了所建格式的收敛性和稳定性.数值实验验证了该格式的有效性和可靠性.A high-order conservative compact difference scheme for solving regularized long wave(RLW) equation is proposed. The difference scheme is conservative for discrete mass and energy. The scheme is second-order accurate in time and fourth-order in space. The convergence and stability of the scheme are proved using the discrete energy method. The numerical experiment shows that the proposed scheme is conservative and accurate.

关 键 词：RLW方程 紧致差分格式 守恒性 收敛性 稳定性 

分 类 号：O241.82[理学—计算数学]