Optimal homotopy perturbation method for nonlinear differential equations governing MHD Jeffery-Hamel flow with heat transfer problem

TL;DR

This paper applies the Optimal Homotopy Perturbation Method to analytically solve nonlinear MHD Jeffery-Hamel flow and heat transfer equations, demonstrating high accuracy compared to numerical solutions.

Contribution

It introduces the use of OHPM for solving complex nonlinear MHD flow and heat transfer problems, improving upon existing methods.

Findings

OHPM provides accurate approximate solutions.

Results agree well with numerical solutions.

Method outperforms traditional HPM.

Abstract

In this paper, Optimal Homotopy Perturbation Method (OHPM) is employed to determine an analytic approximate solutions for nonlinear MHD Jeffery-Hamel flow and heat transfer problem. The Navier-Stokes equations, taking into account Maxwell's electromagnetism and heat transfer lead to two nonlinear ordinary differential equations. The obtained results by means of OHPM show a very good agreement in comparison with the numerical results and with Homotopy Perturbation Method (HPM).