Numerical analysis for fourth-order compact conservative difference scheme to solve the 3D Rosenau-RLW equation

被引：36

作者：

Li, Shuguang ^{[1
,2
]}

机构：

[1] Bauman Moscow State Tech Univ, Computat Math & Math Phys Dept, 2nd Baumanskaya St,5, Moscow 105005, Russia

[2] Harbin Engn Univ, Sch Sci, Harbin 150001, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2016年 / 72卷 / 09期

关键词：

3D Rosenau-RLW equation; Compact difference scheme; Conservative; Convergence in L-infinity-norm; Iterative algorithm; WISE ERROR ESTIMATE; NONLINEAR SCHRODINGER-EQUATION; CONVERGENCE; EFFICIENT;

D O I：

10.1016/j.camwa.2016.09.010

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a fourth-order compact and energy conservative difference scheme for three-dimensional Rosenau-RLW equation is proposed. The scheme is a two-level and nonlinear implicit scheme. It is proved by the discrete energy method that the compact scheme is solvable, the convergence and stability of the difference scheme is obtained, and its numerical convergence order is O(tau(2) + h(4)) in the L-infinity-norm. We discuss an iterative algorithm for solving the nonlinear algebraical system generated by the nonlinear compact scheme and prove its convergence. Numerical experiment results show that the theory is accurate and the method is efficient and reliable. (C) 2016 Elsevier Ltd. All rights reserved.

引用

页码：2388 / 2407

页数：20

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