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

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


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