西华大学学报（自然科学版）2024，Vol.43Issue(3)：106-112,7.DOI:10.12198/j.issn.1673-159X.4607
求解广义Rosenau-Kawahara方程的一个非线性加权守恒差分格式
A Nonlinear Weighted Conserved Difference Scheme for the Generalized Rosenau-Kawahara Equation
摘要
Abstract
A numerical method for a class of generalized Rosenau-Kawahara equation with initial boundary value problem is studied.Based on the second order accuracy,a nonlinear two-level difference scheme is constructed when two weighted coefficients are introduced at the space level.The scheme can reasonably simulate the original conservation.By the discrete functional analysis method,the second order convergence and stability of the scheme are analyzed.Numerical experiments results show that the calcula-tion accuracy can be greatly improved by adjusting the two weighting coefficients,which proves that the weighting scheme proposed in this paper is effective.关键词
广义Rosenau-Kawahara方程/加权差分格式/守恒/收敛性/稳定性Key words
generalized Rosenau-Kawahara equation/weighted difference scheme/conservation/convergence/stability分类
数理科学引用本文复制引用
张爽,胡劲松..求解广义Rosenau-Kawahara方程的一个非线性加权守恒差分格式[J].西华大学学报（自然科学版）,2024,43(3):106-112,7.基金项目
四川省应用基础研究项目(2019JY0387). （2019JY0387）
