1D generalised Burgers-Huxley: proposed solutions revisited and numerical solution using FTCS and NSFD methods

AR Appadu, YO Tijani - Frontiers in Applied Mathematics and …, 2022 - frontiersin.org
In this paper, we obtain the numerical solution of a 1-D generalised Burgers-Huxley
equation under specified initial and boundary conditions, considered in three different …

A numerical scheme based on weighted average differential quadrature method for the numerical solution of Burgers' equation

R Jiwari, RC Mittal, KK Sharma - Applied Mathematics and Computation, 2013 - Elsevier
In this work, a numerical scheme based on weighted average differential quadrature method
is proposed to solve time dependent Burgers' equation with appropriate initial and boundary …

Application of residual power series method to fractional coupled physical equations arising in fluids flow

A Arafa, G Elmahdy - International Journal of Differential …, 2018 - Wiley Online Library
The approximate analytical solution of the fractional Cahn‐Hilliard and Gardner equations
has been acquired successfully via residual power series method (RPSM). The approximate …

[图书][B] Wavelet methods for solving partial differential equations and fractional differential equations

SS Ray, AK Gupta - 2018 - taylorfrancis.com
The main focus of the book is to implement wavelet based transform methods for solving
problems of fractional order partial differential equations arising in modelling real physical …

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 …

-homotopy analysis transform method applied to fractional Kundu–Eckhaus equation and fractional massive Thirring model arising in quantum field theory

AAM Arafa, AMS Hagag - Asian-European Journal of Mathematics, 2019 - World Scientific
In this paper, q-homotopy analysis transform method (q-HATM) is used to solve fractional
Kundu–Eckhaus equation and fractional massive Thirring model. This method is a mixture of …

A robust scheme based on novel‐operational matrices for some classes of time‐fractional nonlinear problems arising in mechanics and mathematical physics

M Usman, M Hamid, MSU Khalid… - Numerical Methods for …, 2020 - Wiley Online Library
In this paper, we present a novel approach based on shifted Gegenbauer wavelets to attain
approximate solutions of some classed of time‐fractional nonlinear problems. First, we …

[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 …