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Analytical Approximation to the Solution of Nonlinear Blasius’ Viscous Flow Equation by LTNHPM
Author(s) -
Hossein Aminikhah
Publication year - 2012
Publication title -
isrn mathematical analysis
Language(s) - English
Resource type - Journals
eISSN - 2090-4665
pISSN - 2090-4657
DOI - 10.5402/2012/957473
Subject(s) - homotopy analysis method , laplace transform , homotopy perturbation method , nonlinear system , viscous flow , mathematics , flow (mathematics) , mathematical analysis , perturbation (astronomy) , laplace's equation , mechanics , homotopy , physics , geometry , partial differential equation , quantum mechanics , pure mathematics
Laplace transform and new homotopy perturbation methods are adopted to study Blasius’ viscous flow equation analytically. The solutions approximated by the proposed method are shown to be precise as compared to the corresponding results obtained by Howarth’s numerical method. A high accuracy of the new method is evident.

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