In this work, we introduce a new optimal homotopy approach, namely the Optimal Homotopy Perturbation Method (OHPM), to thin film flow of a fourth grade fluid down a vertical cylinder. This approach does not depend upon any small or large parameters contradistinguishing from other perturbation methods. The main advantage of this procedure consists in providing a convenient way to control the convergence of approximation series in a very rigorous way and allows adjustment of convergence regions where necessary. A very good agreement was found between approximate and numerical solution, which proves that OHPM is very efficient and accurate.
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© 2012 American Institute of Physics.
2012
American Institute of Physics
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