Novel exact and approximate solutions to the family of the forced damped Kawahara equation and modeling strong nonlinear waves in a plasma

SA El-Tantawy, AH Salas, HA Alyousef… - Chinese Journal of …, 2022 - Elsevier
In this investigation, a set of novel exact and approximate analytic solutions to the family of
the forced damped Kawahara equation (KE) are derived in detail. This work is divided into …

Shock wave simulations using sinc differential quadrature method

A Korkmaz, İ Dağ - Engineering Computations, 2011 - emerald.com
Purpose–This paper aims to present a numerical solution of non‐linear Burger's equation
using differential quadrature method based on sinc functions. Design/methodology …

An efficient local meshless method for the equal width equation in fluid mechanics

MN Rasoulizadeh, MJ Ebadi, Z Avazzadeh… - … Analysis with Boundary …, 2021 - Elsevier
This paper proposes an accurate and robust meshless approach for the numerical solution
of the nonlinear equal width equation. The numerical technique is applied for approximating …

On the dissipative extended Kawahara solitons and cnoidal waves in a collisional plasma: Novel analytical and numerical solutions

SA El-Tantawy, AH Salas, MR Alharthi - Physics of Fluids, 2021 - pubs.aip.org
Two novel analytical solutions to the damped Gardner Kawahara equation and its related
equations are reported. Using a suitable ansatz and with the help of the exact solutions of …

A differential quadrature method for numerical solutions of Burgers'‐type equations

RC Mittal, R Jiwari - International Journal of Numerical Methods for …, 2012 - emerald.com
A differential quadrature method for numerical solutions of Burgers'‐type equations | Emerald
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Polynomial based differential quadrature method for numerical solution of nonlinear Burgers' equation

A Korkmaz, I Dag - Journal of the Franklin Institute, 2011 - Elsevier
Nonlinear Burgers' equation is solved using polynomial based differential quadrature
method (PDQ). Numerical simulations are studied for three well known test problems …

[PDF][PDF] Quartic B-spline differential quadrature method

A Korkmaz, AM Aksoy, I Dag - Int. J. Nonlinear Sci, 2011 - Citeseer
A new differential quadrature method based on quartic B-spline functions is introduced. The
weighting coefficients are determined via a semi-explicit algorithm containing an algebraic …

Cubic B‐spline differential quadrature methods and stability for Burgers' equation

A Korkmaz, İ Dağ - Engineering Computations, 2013 - emerald.com
Purpose–The purpose of this paper is to simulate numerical solutions of nonlinear Burgers'
equation with two well‐known problems in order to verify the accuracy of the cubic B‐spline …

The solitary wave solution of coupled Klein–Gordon–Zakharov equations via two different numerical methods

M Dehghan, A Nikpour - Computer Physics Communications, 2013 - Elsevier
In this research, we propose two different methods to solve the coupled Klein–Gordon–
Zakharov (KGZ) equations: the Differential Quadrature (DQ) and Globally Radial Basis …

Quartic and quintic B-spline methods for advection–diffusion equation

A Korkmaz, I Dağ - Applied Mathematics and Computation, 2016 - Elsevier
Differential quadrature methods based on B-spline functions of degree four and five have
been introduced to solve advection–diffusion equation numerically. Two initial-boundary …