求解Rosenau-KdV-RLW方程的线性化差分算法  

A Linearized Difference Scheme for Rosenau-KdV-RLW Equation

作　　者：李佳佳 王希 张虹 胡劲松 LI Jiajia;WANG Xi;ZHANG Hong;HU Jingsong(School of Science, Xihua University, Chengdu 610039 China)

机构地区：[1]西华大学理学院

出　　处：《西华大学学报（自然科学版）》2019年第4期108-112,共5页Journal of Xihua University:Natural Science Edition

基　　金：国家自然科学基金青年基金(11701481);四川省教育厅重点科研基金项目(16ZA0167);西华大学重点科研基金项目(Z1513324);西华大学研究生创新基金项目(ycjj2018048)

摘　　要：对一类带有齐次边界条件的Rosenau-KdV-RLW方程的初边值问题进行数值研究,提出一个三层线性化差分格式,证明了差分解的存在唯一性,并运用离散泛函分析方法直接证明了该格式的二阶收敛性和无条件稳定性。In this paper, the numerical solution of the initial- boundary value problem for Rosenau-KdV-RLW equation under homogeneous boundary was considered. A three-level linear difference scheme was proposed and the existence and uniqueness of the difference solutions were also proved. Furthermore, it is proved that the difference scheme is second-order convergence and unconditionally stable through the method of discrete function analysis.

关 键 词：Rosenau-KdV-RLW方程 线性化差分格式 收敛性 稳定性 

分 类 号：O241.82[理学—计算数学]