A handy approximate solution for a squeezing flow between two infinite plates by using of Laplace transform-homotopy perturbation method

Springerplus. 2014 Aug 10:3:421. doi: 10.1186/2193-1801-3-421. eCollection 2014.

Abstract

This article proposes Laplace Transform Homotopy Perturbation Method (LT-HPM) to find an approximate solution for the problem of an axisymmetric Newtonian fluid squeezed between two large parallel plates. After comparing figures between approximate and exact solutions, we will see that the proposed solutions besides of handy, are highly accurate and therefore LT-HPM is extremely efficient.

Keywords: Laplace transform homotopy perturbation method; Nonlinear fluid problems; Power series.