Application of the Optimal Homotopy Asymptotic Method to squeezing flow

In this paper, axisymmetric flow of two-dimensional incompressible fluids is studied. The Optimal Homotopy Asymptotic Method (OHAM) is applied to derive a solution of the reduced fourth-order nonlinear boundary value problem. For comparison, the same problem is also solved by the Perturbation Method (PM), the Homotopy Perturbation Method (HPM) [3] and the Homotopy Analysis Method (HAM) [4]. OHAM is parameter free and provides better accuracy at lower order of approximation. Moreover we can easily adjust and control the convergence region. As a result it is concluded that the new technique, OHAM, shows fast convergence, simplicity of application and efficiency.