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) …

Chebyshev Wavelet collocation method for solving generalized Burgers–Huxley equation

I Çelik - Mathematical methods in the applied sciences, 2016 - Wiley Online Library
In this paper, new and efficient numerical method, called as Chebyshev wavelet collocation
method, is proposed for the solutions of generalized Burgers–Huxley equation. This method …

Hybrid B‐Spline Collocation Method for Solving the Generalized Burgers‐Fisher and Burgers‐Huxley Equations

I Wasim, M Abbas, M Amin - Mathematical Problems in …, 2018 - Wiley Online Library
In this study, we introduce a new numerical technique for solving nonlinear generalized
Burgers‐Fisher and Burgers‐Huxley equations using hybrid B‐spline collocation method …

[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 positive and bounded finite element approximation of the generalized Burgers–Huxley equation

VJ Ervin, JE Macías-Díaz, J Ruiz-Ramírez - Journal of Mathematical …, 2015 - Elsevier
We present a finite element scheme capable of preserving the nonnegative and bounded
solutions of the generalized Burgers–Huxley equation. Proofs of existence and uniqueness …

An efficient Mickens' type NSFD scheme for the generalized Burgers Huxley equation

AK Verma, S Kayenat - Journal of Difference Equations and …, 2020 - Taylor & Francis
We consider the generalized Burgers–Huxley (GBH) equation subject to certain initial and
boundary conditions (BCs). Using a solitary wave solution, we derive an exact finite …

[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 …

Development of Galerkin Method for Solving the Generalized Burger′ s‐Huxley Equation

M El-Kady, SM El-Sayed… - Mathematical Problems in …, 2013 - Wiley Online Library
Numerical treatments for the generalized Burger′ s—Huxley GBH equation are presented.
The treatments are based on cardinal Chebyshev and Legendre basis functions with …