Application of the Optimal Homotopy Asymptotic Method to squeezing flow

作者：Idrees M; Islam S^*; Haq Sirajul; Islam Sirajul

来源：Computers & Mathematics with Applications, 2010, 59(12): 3858-3866.

DOI：10.1016/j.camwa.2010.04.023

• Squeezing flow
• Optimal Homotopy Asymptotic Method
• Convergence constants

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.

• 出版日期2010-6