On the exact and numerical solutions to the coupled Boussinesq equation arising in ocean engineering

TA Sulaiman, H Bulut, A Yokus, HM Baskonus - Indian journal of Physics, 2019 - Springer
The studies of the dynamic behaviors of nonlinear models arising in ocean engineering play
a significant role in our daily activities. In this study, we investigate the coupled Boussinesq …

Comparison of Caputo and conformable derivatives for time-fractional Korteweg–de Vries equation via the finite difference method

A Yokuş - International Journal of Modern Physics B, 2018 - World Scientific
In this study, we investigate the nonlinear time-fractional Korteweg–de Vries (KdV) equation
by using the (1/G′)-expansion method and the finite forward difference method. We first …

A fourth order cubic B-spline collocation method for the numerical study of the RLW and MRLW equations

RC Mittal, R Rohila - Wave motion, 2018 - Elsevier
This manuscript is concerned with a fourth order numerical method based on cubic B-spline
functions to solve the regularized and modified regularized long wave (MRLW) equations …

[HTML][HTML] Boussinesq equations: M-fractional solitary wave solutions and convergence analysis

TA Sulaiman, H Bulut - Journal of Ocean Engineering and Science, 2019 - Elsevier
The studies of the dynamics behaviors of nonlinear models arising in ocean engineering
play a significant role in our daily activities. This study investigates the nonlinear fractional …

Exponential B-spline collocation method for numerical solution of the generalized regularized long wave equation

R Mohammadi - Chinese Physics B, 2015 - iopscience.iop.org
The aim of the present paper is to present a numerical algorithm for the time-dependent
generalized regularized long wave equation with boundary conditions. We semi-discretize …

Analysis of RLW and MRLW equation using an improvised collocation technique with SSP-RK43 scheme

VK Kukreja - Wave Motion, 2021 - Elsevier
In this work, the regularized and the modified regularized long wave equations are solved
using an improvised cubic B-spline collocation technique. Posteriori corrections are made in …

Two Reliable Computational Techniques for Solving the MRLW Equation

K Al-Khaled, H Jafer - Axioms, 2023 - mdpi.com
In this paper, a numerical solution of the modified regularized long wave (MRLW) equation
is obtained using the Sinc-collocation method. This approach approximates the space …

[HTML][HTML] An efficient numerical method for the modified regularized long wave equation using Fourier spectral method

HN Hassan - Journal of the Association of Arab Universities for Basic …, 2017 - Elsevier
The modified regularized long wave (MRLW) equation is numerically solved using Fourier
spectral collection method. The MRLW equation is discretized in space variable by the …

Solution of the generalized regularized long-wave equation with optimal spline collocation technique and implicit Crank–Nicolson as well as explicit SSP-RK43 …

Shallu, VK Kukreja - International Journal of Computer …, 2023 - Taylor & Francis
In this work, a generalized regularized long-wave equation is solved using the optimal cubic
B-spline collocation method for space discretization. Two different approaches are followed …

The Method of Lines Solution of the Regularized Long‐Wave Equation Using Runge‐Kutta Time Discretization Method

HO Bakodah, MA Banaja - Mathematical Problems in …, 2013 - Wiley Online Library
A method of lines approach to the numerical solution of nonlinear wave equations typified by
the regularized long wave (RLW) is presented. The method developed uses a finite …