[HTML][HTML] Computational and numerical simulations of the wave propagation in nonlinear media with dispersion processes

C Yue, M Higazy, O Khater, M Khater - AIP Advances, 2023 - pubs.aip.org
In partial differential equations, the generalized modified equal-width (GMEW) equation is
commonly used to model one-dimensional wave propagation in nonlinear media with …

[HTML][HTML] Dispersive traveling wave solutions of the equal-width and modified equal-width equations via mathematical methods and its applications

D Lu, AR Seadawy, A Ali - Results in Physics, 2018 - Elsevier
Abstract The Equal-Width and Modified Equal-Width equations are used as a model in
partial differential equations for the simulation of one-dimensional wave transmission in …

Finite difference method combined with differential quadrature method for numerical computation of the modified equal width wave equation

A Başhan, NM Yağmurlu, Y Uçar… - Numerical Methods for …, 2021 - Wiley Online Library
The aim of this study is to improve the numerical solution of the modified equal width wave
equation. For this purpose, finite difference method combined with differential quadrature …

Application of the collocation method with B-splines to the GEW equation

H Zeybek, SBG Karakoç - 2017 - acikerisim.nevsehir.edu.tr
In this paper, the generalized equal width (GEW) wave equation is solved numerically by
using a quintic B-spline collocation algorithm with two different linearization techniques …

Two finite difference methods for solving the Zakharov–Kuznetsov-Modified Equal-Width equation

JJ Benito, A García, M Negreanu, F Ureña… - … Analysis with Boundary …, 2023 - Elsevier
We derive the implementation of two meshless methods, the Space–Time Cloud Method
and the Generalized Finite Difference Method, for solving the Zakharov–Kuznetsov-Modified …

A cubic B-spline Galerkin approach for the numerical simulation of the GEW equation

SBG Karakoç, H Zeybek - Statistics, Optimization & Information …, 2016 - iapress.org
The generalized equal width (GEW) wave equation is solved numerically by using lumped
Galerkin approach with cubic B-spline functions. The proposed numerical scheme is tested …

A new perspective for the numerical solution of the modified equal width wave equation

A Başhan, N Murat Yağmurlu, Y Uçar… - … Methods in the Applied …, 2021 - Wiley Online Library
Finding the approximate solutions to natural systems in the branch of mathematical
modelling has become increasingly important and for this end various methods have been …

A novel perspective for simulations of the MEW equation by trigonometric cubic B-spline collocation method based on Rubin-Graves type linearization

NM Yağmurlu, AS Karakaş - Computational Methods for …, 2022 - cmde.tabrizu.ac.ir
In the present study, the Modified Equal Width (MEW) wave equation is going to be solved
numerically by presenting a new technique based on the collocation finite element method …

On soliton solutions of the modified equal width equation

I Onder, M Cinar, A Seçer, M Bayram - Engineering Computations, 2023 - emerald.com
Purpose The soliton solutions are obtained by using extended rational sin/cos and sinh-
cosh method. The methods are powerful and have ease of use. Applying wave …

Numerical solution of the modified equal width wave equation

SBG Karakoç, T Geyikli - International journal of differential …, 2012 - Wiley Online Library
Numerical solution of the modified equal width wave equation is obtained by using lumped
Galerkin method based on cubic B‐spline finite element method. Solitary wave motion and …