English

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

Numerical Analysis 2015-07-13 v1 Fluid Dynamics

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).

Keywords

Cite

@article{arxiv.1507.02790,
  title  = {Optimal homotopy perturbation method for nonlinear differential equations governing MHD Jeffery-Hamel flow with heat transfer problem},
  author = {Vasile Marinca and Remus-Daniel Ene},
  journal= {arXiv preprint arXiv:1507.02790},
  year   = {2015}
}

Comments

29 pages, 13 figures