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 …

Composite materials are used to produce multi-objective structures such as fluid reservoirs,
transmission pipes, heat exchangers, pressure vessels due to high strength and stiffness to …

In this research work, we propose an algorithm which involves the coupling of a new integral
transform called the Elzaki transform and the well-known homotopy perturbation method on …

In this article, we apply a direct influential approach namely enhanced modified simple
equation (EMSE) method to integrate the Burgers–Huxley (BH) and FitzHugh–Nagumo …

In this paper, we introduce an improved water strider algorithm designed to solve the inverse
form of the Burgers-Huxley equation, a nonlinear partial differential equation. Additionally …

According to the results of B. Kruglikov, O. Lychagina, and V. Lychagin, evolutionary partial
differential equations determine flows (finite-dimensional dynamics) on solutions' spaces of …

In the present work, variational iteration method with He's polynomials (VIMHP) is widely
proposed to elucidate the linear and nonlinear system of partial differential equations. In the …

This paper aims to propose a highly accurate and simple algorithm based on the Taylor
wavelet methods for obtaining the approximate solution of the generalized Burgers–Huxley …

The exact solution of Burgers-Fisher equation is obtained by using the Variational Iteration
Method (VIM) and the Homotopy Perturbation Method (HPM). To present accuracy as well …

In this paper, the Variational Iteration Method (VIM) and the Homotopy Perturbation Method
(HPM) are applied to solve the Burgers-Huxley non-linear differential equations. A …