Equal-Width波方程的高精度守恒差分格式  

A conservative difference scheme with high-order accuracy for the Equal-Width wave equation

作　　者：钟瑞华 程宏 何育宇 ZHONG Ruihua;CHENG Hong;HE Yuyu(School of Mathematics and Statistics,Minnan Normal University,Zhangzhou,Fujian 363000,China)

机构地区：[1]闽南师范大学数学与统计学院,福建漳州363000

出　　处：《闽南师范大学学报（自然科学版）》2021年第2期29-35,共7页Journal of Minnan 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Equal-Width波方程提出一个三层线性高精度守恒差分格式.所建格式满足质量守恒和能量守恒,在时间和空间上分别为二阶和四阶精度.用离散能量法证明了所建差分格式的收敛性和稳定性.数值实验表明该格式是有效的和可靠的.A three-level high-order accuracy conservative difference scheme for solving the nonlinear Equal-Width wave equation is proposed.The scheme is conservative for the discrete energy,and has second-order accuracy in time and fourth-order in space.The convergence and stability of the scheme are proved by the discrete energy method.The numerical experiment shows that the proposed scheme is efficient and reliable.

关 键 词：Equal-Width波方程 差分格式 守恒性 收敛性 稳定性 

分 类 号：O241.82[理学—计算数学]