[HTML][HTML] Hetero-Bäcklund transformation and similarity reduction of an extended (2+ 1)-dimensional coupled Burgers system in fluid mechanics

XY Gao, YJ Guo, WR Shan - Physics Letters A, 2020 - Elsevier
Nowadays, the Burgers-type equations are seen in plasma astrophysics, ocean dynamics,
atmospheric science, computational fluid mechanics, cosmology, condensed matter physics …

[HTML][HTML] A Chebyshev spectral collocation method for solving Burgers'-type equations

AH Khater, RS Temsah, MM Hassan - Journal of computational and …, 2008 - Elsevier
In this paper, we elaborated a spectral collocation method based on differentiated
Chebyshev polynomials to obtain numerical solutions for some different kinds of nonlinear …

A fully implicit finite-difference scheme for two-dimensional Burgers' equations

AR Bahadır - Applied Mathematics and Computation, 2003 - Elsevier
The two-dimensional Burgers' equations are discretized in fully implicit finite-difference form.
This scheme leads to a system of nonlinear difference equations to be solved at each time …

The solution of coupled Burgers' equations using Adomian–Pade technique

M Dehghan, A Hamidi, M Shakourifar - Applied Mathematics and …, 2007 - Elsevier
The purpose of this study is to implement ADM–PADE (MADM–PADE) technique, which is a
combination of Adomian decomposition method (modified Adomian decomposition method) …

The modified extended tanh-function method for solving Burgers-type equations

AA Soliman - Physica A: Statistical Mechanics and its Applications, 2006 - Elsevier
By means of the modified extended tanh-function (METF) method the multiple travelling
wave solutions of some different kinds of nonlinear partial differential equations are …

A numerical simulation and explicit solutions of KdV-Burgers' and Lax's seventh-order KdV equations

AA Soliman - Chaos, Solitons & Fractals, 2006 - Elsevier
By means of variational iteration method the solution of the Korteweg-de Vries Burgers (for
short, KdVB) and a Lax's seventh-order KdV (for short, LsKdV) equations are exactly …

An extended (2+ 1)-dimensional coupled burgers system in fluid mechanics: symmetry reductions; Kudryashov method; conservation laws

AR Adem, B Muatjetjeja, TS Moretlo - International Journal of Theoretical …, 2023 - Springer
The Burgers-type equations are noticed in plasma astrophysics, ocean dynamics,
atmospheric science, computational fluid mechanics, cosmology, condensed matter physics …

A bivariate Chebyshev spectral collocation quasilinearization method for nonlinear evolution parabolic equations

SS Motsa, VM Magagula… - The Scientific World …, 2014 - Wiley Online Library
This paper presents a new method for solving higher order nonlinear evolution partial
differential equations (NPDEs). The method combines quasilinearisation, the Chebyshev …

Auto-Bäcklund Transformation, Similarity Reductions and Solitons of an Extended ()-Dimensional Coupled Burgers System in Fluid Mechanics

XY Gao, YJ Guo, WR Shan - Qualitative theory of dynamical systems, 2022 - Springer
Burgers-type equations are seen in cosmology, hydrodynamics, plasma physics, hurricane
dynamics, statistical dynamics, traffic modelling, etc. For an extended (2+ 1)-dimensional …

New analytical method for solving Burgers' and nonlinear heat transfer equations and comparison with HAM

MM Rashidi, E Erfani - Computer Physics Communications, 2009 - Elsevier
In this study, we present a numerical comparison between the differential transform method
(DTM) and the homotopy analysis method (HAM) for solving Burgers' and nonlinear heat …