[HTML][HTML] Lie symmetry analysis, explicit solutions and conservation laws of a spatially two-dimensional Burgers–Huxley equation

A Hussain, S Bano, I Khan, D Baleanu, K Sooppy Nisar - Symmetry, 2020 - mdpi.com
In this paper, we investigate a spatially two-dimensional Burgers–Huxley equation that
depicts the interaction between convection effects, diffusion transport, reaction gadget, nerve …

Numerical solution of Generalized Burger–Huxley & Huxley's equation using Deep Galerkin neural network method

H Kumar, N Yadav, AK Nagar - Engineering Applications of Artificial …, 2022 - Elsevier
In this paper, a deep learning algorithm based on Deep Galerkin method (DGM) is
presented for the approximate solution of the generalized Burgers–Huxley equation (gBHE) …

On the exact solution of Burgers-Huxley equation using the homotopy perturbation method

SS Nourazar, M Soori, A Nazari-Golshan - arXiv preprint arXiv:1503.07850, 2015 - arxiv.org
The Homotopy Perturbation Method (HPM) is used to solve the Burgers-Huxley non-linear
differential equations. Three case study problems of Burgers-Huxley are solved using the …

[HTML][HTML] A numerical scheme for the generalized Burgers–Huxley equation

BK Singh, G Arora, MK Singh - Journal of the Egyptian Mathematical …, 2016 - Elsevier
In this article, a numerical solution of generalized Burgers–Huxley (gBH) equation is
approximated by using a new scheme: modified cubic B-spline differential quadrature …

[HTML][HTML] A robust Hermite spline collocation technique to study generalized Burgers-Huxley equation, generalized Burgers-Fisher equation and Modified Burgers' …

S Arora, R Jain, VK Kukreja - Journal of Ocean Engineering and Science, 2022 - Elsevier
In this paper, a robust Hermite collocation technique is proposed to find the numerical
solution of generalized Burgers-Huxley and Burgers-Fisher equations as well as modified …

B‐spline collocation algorithm for numerical solution of the generalized Burger's‐Huxley equation

R Mohammadi - Numerical Methods for Partial Differential …, 2013 - Wiley Online Library
The cubic B‐spline collocation scheme is implemented to find numerical solution of the
generalized Burger's–Huxley equation. The scheme is based on the finite‐difference …

[HTML][HTML] Three methods based on the interpolation scaling functions and the mixed collocation finite difference schemes for the numerical solution of the nonlinear …

M Dehghan, BN Saray, M Lakestani - Mathematical and Computer …, 2012 - Elsevier
Two numerical techniques based on the interpolating scaling functions are presented for the
solution of the generalized Burgers–Huxley equation. Some properties of the interpolating …

Analytical Traveling Wave and Soliton Solutions of the Dimensional Generalized Burgers–Huxley Equation

TD Leta, W Liu, H Rezazadeh, J Ding… - Qualitative Theory of …, 2021 - Springer
This paper employs the modified Kudryashov method, Riccati-Bernoulli sub-ODE method
and the bifurcation methods to study a nonlinear (2+ 1)(2+ 1)—dimensional generalised …

Operator compact method of accuracy two in time and four in space for the solution of time dependent Burgers-Huxley equation

RK Mohanty, W Dai, D Liu - Numerical Algorithms, 2015 - Springer
In this paper, we propose a new two-level implicit compact operator method of order two in
time (t) and four in space (x) for the solution of time dependent Burgers-Huxley equation with …

Multiple solutions and conserved vectors of a shallow water wave equation arising in fluid mechanics; Lie group analysis

OD Adeyemo, CM Khalique, M Abudiab… - Chinese Journal of Physics, 2024 - Elsevier
Investigation has shown that shallow water wave model equations constitute a class of
hyperbolic partial differential equations describing the movement below a pressure surface …