Numerical analysis of generalized regularized long wave equation using the element-free kp-Ritz method

被引：36
作者：
Guo, P. F. [1 ]
Zhang, L. W. [2 ]
Liew, K. M. [3 ,4 ]
机构：
[1] Lianyungang Normal Coll, Sch Math & Informat Engn, Lianyungang 222006, Peoples R China
[2] Shanghai Ocean Univ, Coll Informat Technol, Shanghai 201306, Peoples R China
[3] City Univ Hong Kong, Dept Architecture & Civil Engn, Kowloon, Hong Kong, Peoples R China
[4] City Univ Hong Kong, Shenzhen, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 240卷
基金：
中国国家自然科学基金;
关键词：
Element-free kp-Ritz method; Generalized regularized long wave (GRLW) equation; Solitary wave; FREE-VIBRATION ANALYSIS; FREE GALERKIN METHOD; NONLINEAR-ANALYSIS; B-SPLINES; PLATES; ERROR; APPROXIMATION; SHELLS;
D O I：
10.1016/j.amc.2014.04.023
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A numerical analysis of the generalized regularized long wave (GRLW) equation by application of the element-free kp-Ritz method is performed. To approximate the displacement field, an element-free kernel particle estimation is employed and a system of nonlinear discrete equations is achieved by using the Ritz minimization procedure to the energy expressions. Validation of the present numerical solutions with the exact results has been conducted by numerical examples and evidenced a good agreement. (C) 2014 Elsevier Inc. All rights reserved.
引用
收藏
页码：91 / 101
页数：11
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