Numerical solutions of generalized Rosenau–KDV–RLW equation by using Haar wavelet collocation approach coupled with nonstandard finite difference scheme and …

AK Verma, MK Rawani - Numerical Methods for Partial …, 2023 - Wiley Online Library
In this article, we analyze and propose to compute the numerical solutions of a generalized
Rosenau–KDV–RLW (Rosenau‐Korteweg De Vries‐Regularized Long Wave) equation …

Numerical solution of the Rosenau–KdV–RLW equation by operator splitting techniques based on B‐spline collocation method

S Özer - Numerical Methods for Partial Differential Equations, 2019 - Wiley Online Library
In the present study, the operator splitting techniques based on the quintic B‐spline
collocation finite element method are presented for calculating the numerical solutions of the …

Numerical Solution of the Rosenau‐KdV‐RLW equation via combination of a polynomial scaling function collocation and finite difference method

Ö Oruç, A Esen, F Bulut - Mathematical Methods in the Applied …, 2024 - Wiley Online Library
In this paper, we established a polynomial scaling method to investigate the numerical
solution of Rosenau–Korteweg De Vries‐regularized long wave (Rosenau‐KdV‐RLW) …

Operator time‐splitting techniques combined with quintic B‐spline collocation method for the generalized Rosenau–KdV equation

S Kutluay, M Karta, NM Yağmurlu - Numerical Methods for …, 2019 - Wiley Online Library
In this article, the generalized Rosenau–KdV equation is split into two subequations such
that one is linear and the other is nonlinear. The resulting subequations with the prescribed …

Numerical solutions of nonhomogeneous Rosenau type equations by quintic B‐spline collocation method.

S Özer, NM Yağmurlu - Mathematical Methods in the …, 2022 - search.ebscohost.com
In this study, a numerical scheme based on a collocation finite element method using quintic
B‐spline functions for getting approximate solutions of nonhomogeneous Rosenau type …

An effective numerical technique for the Rosenau-KdV-RLW equation

S Özer - Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2018 - dergipark.org.tr
In this study, the Rosenau-Korteweg-de Vries-Regular Longwave (Rosenau-KdV-RLW)
equation has been converted into a partial differential equation system consisting of two …

Modifying a meshless method to solving turbulent natural convection heat transfer

N Sheikhi, M Najafi, V Enjilela - International Journal of Modern …, 2020 - World Scientific
The conventional meshless local Petrov–Galerkin method is modified to enable the method
to solve turbulent convection heat transfer problems. The modifications include developing a …

An Efficient Collocation Algorithm with SSP-RK43 Scheme to Solve Rosenau–KdV–RLW Equation

Shallu, VK Kukreja - International Journal of Applied and Computational …, 2021 - Springer
In this study, the coupling of the Rosenau–Korteweg-de Vries and Rosenau-regularized-
long wave equations are solved that model the motion of shallow-water waves, by a …

Solving the generalized rosenau-kdv equation by the meshless kernel-based method of lines

M Arı, B Karaman, Y Dereli - Cumhuriyet Science Journal, 2022 - csj.cumhuriyet.edu.tr
This current investigation consists of the numerical solutions of the Generalized Rosenau-
KdV equation by using the meshless kernel-based method of lines, which is a truly meshless …

[PDF][PDF] Meshless Method Based on Radial Basis Functions for General Rosenau KdV-RLW Equation

B Karaman, Y Dereli - Anadolu University Journal of Science and …, 2018 - dergipark.org.tr
In the present study, the meshless method based on radial basis functions is applied for
finding the numerical solution of the general Rosenau KdV-RLW equation. Firstly, Crank …