Title
Numerical analysis of generalized regularized long wave equation using the element-free kp-Ritz method.
Abstract
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.
Year
DOI
Venue
2014
10.1016/j.amc.2014.04.023
Applied Mathematics and Computation
Keywords
Field
DocType
Element-free kp-Ritz method,Generalized regularized long wave (GRLW) equation,Solitary wave
Kernel (linear algebra),Displacement field,Mathematical optimization,Nonlinear system,Expression (mathematics),Mathematical analysis,Minification,Ritz method,Wave equation,Numerical analysis,Mathematics
Journal
Volume
ISSN
Citations 
240
0096-3003
5
PageRank 
References 
Authors
0.46
7
3
Name
Order
Citations
PageRank
P. F. Guo150.46
L. W. Zhang2273.20
K. M. Liew321419.27