Purpose This study aims that very lately, Mohand transform is introduced to solve the
ordinary and partial differential equations (PDEs). In this paper, the authors modify this …

The main aim of this paper is to present a comparative study of modified analytical technique
based on auxiliary parameters and residual power series method (RPSM) for Newell …

Abstract In this paper, Newell–Whitehead–Segel equations of fractional order are solved by
fractional variational iteration method. Convergence analysis and numerical examples are …

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 …

The Caputo fractional version of the generalized Newell–Whitehead–Segel model is
considered. We introduced a numerical scheme to solve analytically the proposed …

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 …

In this paper, we apply He's Variational iteration method (VIM) for solving nonlinear Newell-
Whitehead-Segel equation. By using this method three different cases of Newell-Whitehead …

This work applies the Aboodh transform with the homotopy perturbation method (HPM) to
solve fractional differential equations. As the Aboodh transform is limited to linear equations …

The Newell-Whitehead-Segel equation is an important model arising in fluid mechanics.
Various researchers worked on approximate solution of this model by using different …

In this paper, we construct four numerical methods to solve the Burgers–Huxley equation
with specified initial and boundary conditions. The four methods are two novel versions of …