Results 21 to 30 of about 9,237 (213)

Numerical Approaches of the Generalized Time-Fractional Burgers’ Equation with Time-Variable Coefficients

open access: yesJournal of Function Spaces, 2021
The generalized time-fractional, one-dimensional, nonlinear Burgers equation with time-variable coefficients is numerically investigated. The classical Burgers equation is generalized by considering the generalized Atangana-Baleanu time-fractional ...
Dumitru Vieru   +3 more
doaj   +1 more source

New soliton solutions of the fractional Regularized Long Wave Burger equation by means of conformable derivative

open access: yesResults in Physics, 2019
In this paper, the practice of the extended direct algebraic method (EDAM) is used to solve fractional Regularized Long Wave Burgers (RLW-Burgers) equation by means of the conformable derivative.
Zeliha Korpinar   +4 more
doaj   +1 more source

Exact traveling wave solutions of the Schamel Burgers’ equation by using generalized-improved and generalized G′G expansion methods

open access: yesResults in Physics, 2022
The Schamel Burgers’ equation is a nonlinear partial differential equation which produces the shock type traveling waves in extraordinary physical situations. Previously, this sort of equation is solved with well known tan−hyperbolicmethod. In this paper,
Sanjaya Kr. Mohanty   +2 more
doaj   +1 more source

On the Numerical Solution of One-Dimensional Nonlinear Nonhomogeneous Burgers’ Equation

open access: yesJournal of Applied Mathematics, 2014
The nonlinear Burgers’ equation is a simple form of Navier-Stocks equation. The nonlinear nature of Burgers’ equation has been exploited as a useful prototype differential equation for modeling many phenomena. This paper proposes two meshfree methods for
Maryam Sarboland, Azim Aminataei
doaj   +1 more source

Playing with Burgers’s Equation [PDF]

open access: yes, 2011
The 1D Burgers equation is used as a toy model to mimick the resulting behaviour of numerical schemes when replacing a conservation law by a form which is equivalent for smooth solutions, such as the total energy by the internal energy balance in the Euler equations.
Gallouët, Thierry   +3 more
openaire   +1 more source

Asymptotic profiles for a class of perturbed Burgers equations in one space dimension [PDF]

open access: yesOpuscula Mathematica, 2018
In this article we consider the Burgers equation with some class of perturbations in one space dimension. Using various energy functionals in appropriate weighted Sobolev spaces rewritten in the variables \(\frac{\xi}{\sqrt\tau}\) and \(\log\tau\), we ...
F. Dkhil, M. A. Hamza, B. Mannoubi
doaj   +1 more source

Meromorphic solutions of generalized inviscid Burgers’ equations and related PDES

open access: yesComptes Rendus. Mathématique, 2021
The purposes of this paper are twofold. The first one is to describe entire solutions of certain type of PDEs in $\mathbb{C}^n$ with the modified KdV-Burgers equation and modified Zakharov-Kuznetsov equation as the prototypes.
Lü, Feng
doaj   +1 more source

Exact solution of an electroosmotic flow for generalized Burgers fluid in cylindrical domain

open access: yesResults in Physics, 2016
The present paper reports a theoretical study of the dynamics of an electroosmotic flow (EOF) in cylindrical domain. The Cauchy momentum equation is first simplified by incorporating the electrostatic body force in the electric double layer and the ...
Masood Khan   +3 more
doaj   +1 more source

New Multiple Solution to the Boussinesq Equation and the Burgers-Like Equation

open access: yesJournal of Applied Mathematics, 2013
By considering an improved tanh function method, we found some exact solutions of Boussinesq and Burgers-like equations. The main idea of this method is to take full advantage of the Riccati equation which has more new solutions.
Hasan Bulut, Münevver Tuz, Tolga Akturk
doaj   +1 more source

An implicit logarithmic finite-difference technique for two dimensional coupled viscous Burgers’ equation

open access: yesAIP Advances, 2013
This article describes a new implicit finite-difference method: an implicit logarithmic finite-difference method (I-LFDM), for the numerical solution of two dimensional time-dependent coupled viscous Burgers’ equation on the uniform grid points.
Vineet K. Srivastava   +2 more
doaj   +1 more source

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