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 decatic B‐spline collocation technique is employed to compute the numerical result of a
nonlinear Burgers' equation. The nonlinear term of Burgers' equation is locally linearized …

The Burgers' equation is solved using the explicit finite difference method (EFDM) and
physics-informed neural networks (PINN). We compare our numerical results, obtained …

The solution for non-linear, complex partial differential Equations (PDEs) is achieved
through numerical approximations, which yield a linear system of equations. This approach …

This paper presents an extension to the Cole–Hopf barycentric Gegenbauer integral
pseudospectral (PS) method (CHBGPM) presented in Elgindy and Dahy [High-order …

In this paper, an efficient computational technique for the numerical solution of the Burgers'
equation (BE) is presented. The derivative in space is approximated using cubic B-splines …

We focus on a class of generalized Burgers Huxley equation and its singularly perturbed
form, which has significant impacts on practical applications. The existence of different …

In the present paper, we establish an efficient numerical scheme based on weakly L‐stable
time integration convergent formula and nonstandard finite difference (NSFD) scheme. We …

The method proposed in this manuscript is constructed for the classical non-linear Burgers'
equation on the basis of the tailored finite point method. Attempts have been made in the …

We introduce an efficient variational hybrid quantum-classical algorithm designed for solving
Caputo time-fractional partial differential equations. Our method employs an iterable cost …