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

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

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Detail(s)

Original languageEnglish
Pages (from-to)91-101
Journal / PublicationApplied Mathematics and Computation
Volume240
Online published15 May 2014
Publication statusPublished - 1 Aug 2014

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DOI

DOI
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Link to Scopus https://www.scopus.com/record/display.uri?eid=2-s2.0-84901047338&origin=recordpage
Permanent Link https://scholars.cityu.edu.hk/en/publications/publication(466d7bc9-028f-4877-a0c7-8ac4da7b7b4e).html

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. © 2014 Elsevier Inc. All rights reserved.

Research Area(s)

  • Element-free kp-Ritz method, Generalized regularized long wave (GRLW) equation, Solitary wave

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Publication fingerprints text

100
numerical analysis INIS
100
ritz method INIS
100
wave equations INIS
100
Elements Engineering
100
Long Wave Engineering
100
Numerical Analysis Engineering
100
Wave Equation Mathematics
100
Ritz Method Mathematics
100
Free Element Mathematics
100
Element-free kp-Rit... Keyphrases
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Citation Format(s)

[ RIS ] [ BibTeX ]
Numerical analysis of generalized regularized long wave equation using the element-free kp-Ritz method. / Guo, P. F.; Zhang, L. W.; Liew, K. M.
In: Applied Mathematics and Computation, Vol. 240, 01.08.2014, p. 91-101.

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review