四川大学学报（自然科学版）2022，Vol.59Issue(2)：25-32,8.DOI:10.19907/j.0490-6756.2022.021005
Rosenau-KdV方程初边值问题的一个高精度线性守恒差分格式
A high-accuracy linear conservative difference scheme for the initial-boundary value problem of Rosenau-KdV equation
摘要
Abstract
In this paper,a three-level linear finite difference scheme with theoretical accuracy of O(τ2+h4)is proposed for the initial-boundary value problem of Rosenau-KdV equation.This scheme simulates two conservative properties very well.The existence,uniqueness of the difference solution and prior es-timates are obtained.Then the convergence and stability of the scheme are analyzed by using the energy method.Numerical examples verify the theoretical results.关键词
Rosenau-KdV方程/差分格式/守恒律/收敛性/稳定性Key words
Rosenau-KdV equation/Difference scheme/Conservative law/Convergence/Stability分类
数理科学引用本文复制引用
李贵川,张芝源,胡劲松,章皓洲..Rosenau-KdV方程初边值问题的一个高精度线性守恒差分格式[J].四川大学学报（自然科学版）,2022,59(2):25-32,8.基金项目
四川省应用基础研究项目(2019YJ0387) （2019YJ0387）
