### 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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