A brief introduction to the development of the homotopy perturbation method is given, and
the main milestones are elucidated with more than 90 references. This paper further …

Abstract This paper highlights Li-He's approach in which the enhanced perturbation method
is linked with the parameter expansion technology in order to obtain frequency amplitude …

Highlights•The modelling of enzymatic biofuel cells in the past two years are discussed.•The
main contributions as well as current problems and challenges are highlighted.•The …

The current article investigates the motion of a sliding bead on a smooth vertical parabola.
The parabola is rotated about its vertical axis with a uniform angular frequency. The …

This paper presents a modified Laplace transform homotopy perturbation method with finite
boundary conditions (MLT–HPM) designed to improve the accuracy of the approximate …

This article proposes the application of Laplace Transform-Homotopy Perturbation Method
and some of its modifications in order to find analytical approximate solutions for the linear …

In this paper, we describe the application of the generalized finite Hankel transform method
to the convection diffusion problems of nitrogen in soil subject to Robin boundary conditions …

This study examines free convection magnetohydrodynamic (MHD) flow via a vertical plate
oscillating in a porous material. Using the homotopy perturbation method, the coupled …

(TSM) coupled with a shooting technique to obtain solutions of boundary value problems
(BVP). In order to assess the benefits of this proposal, four different kinds of nonlinear BVP …

The objective of this article is to enlarge the applications of Boundary Value Problems Picard
Method (BVPP) for ODES with nonlinear and Robin boundary conditions. For this purpose …