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An analytical approximation for solving nonlinear Blasius equation by NHPM
Author(s) -
Aminikhah Hossein
Publication year - 2010
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.20490
Subject(s) - mathematics , homotopy analysis method , blasius boundary layer , partial differential equation , nonlinear system , homotopy perturbation method , mathematical analysis , ordinary differential equation , boundary layer , perturbation (astronomy) , differential equation , homotopy , boundary (topology) , physics , boundary layer thickness , mechanics , pure mathematics , quantum mechanics
In this article, an analytic approximation to the solution of Blasius equation is obtained by using a new modification of homotopy perturbation method. The Blasius equation is a nonlinear ordinary differential equation which arises in the boundary layer flow. The comparison with Howart's numerical solution shows that the new homotopy perturbation method is an effective mathematical method with high accuracy. © 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 2010