Various techniques to solve Blasius equation

Utku Cem Karabulut, Alper Kılıç

Öz


This paper presents three distinct approximate methods for solving Blasius Equation. The first method can be regarded as an improvement to a series solution of Blasius by means of Padè approximation. The second method is a famous type of weighted residual technique which is called Galerkin method after the famous Russian engineer and mathematician Boris Galerkin. The last method is a simple discrete, numerical technique. Additionally, in order to show the power of the last method, the Thomas-Fermi problem is solved using the same technique. Results obtained by all three methods are highly accurate in comparison with the Howarth’s solution and Bender’s solution.


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