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A simple perturbation approach to Blasius equation
Authors:Ji-Huan He  
Affiliation:Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, P.O. Box 189, 149 Yangchang Road, Shanghai 200 072, China
Abstract:In this paper, we couple the iteration method with the perturbation method to solve the well-known Blasius equation. The obtained approximate analytic solutions are valid for the whole solution domain. Comparison with Howarth’s numerical solution reveals that the proposed method is of high accuracy, the first iteration step leads to 6.8% accuracy, and the second iteration step yields the 0.73% accuracy of initial slop.
Keywords:Blasius equation   Perturbation method   Homotopy technique
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