Rosenau-KdV-RLW方程的高精度线性化差分格式  

A High Precision Linearized Difference Scheme for the Rosenau-KdV-RLW Equation

作　　者：易莉佳 陈举 胡劲松 YI Lijia;CHEN Ju;HU Jinsong(School of Science,Xihua University,Chengdu 610039 China)

机构地区：[1]西华大学理学院,四川成都610039

出　　处：《西华大学学报（自然科学版）》2024年第1期109-114,共6页Journal of Xihua University:Natural Science Edition

基　　金：四川省应用基础研究项目(2019JY0387)。

摘　　要：利用有限差分方法研究一类非线性Rosenau-KdV-RLW方程的数值解,为进一步提高差分格式的理论精度,在时间层和空间层分别进行外推离散,构造一种新的高精度三层外推线性化差分格式。数值实验证明该差分方案是有效的,且空间层的理论精度达到四阶。In this paper,the numerical solution of a class of nonlinear Rosenau-KdV-RLW equations is studied by using the finite difference method.In order to improve the theoretical accuracy of the difference scheme,a new high-precision three-level extrapolation linearized difference scheme was constructed by performing extrapolation discretization in the temporal and spatial levels respectively.Numerical experi-ments have been conducted and the results show that the scheme is effective,and the theoretical accuracy of the spatial level can reach fourth order.

关 键 词：Rosenau-KdV-RLW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]