## Approximate analytical solution of Blasius’ equation.(English)Zbl 0918.34016

Summary: Blasius’ equation $$f'''+f''/2=0$$ with the boundary conditions $$f(0)=f'(0)=0$$, $$f'(+\infty)=1$$, is studied. An approximate analytical solution is obtained via the variational iteration method. A comparison with Howarth’s numerical solution reveals that the proposed method is of high accuracy.

### MSC:

 34A45 Theoretical approximation of solutions to ordinary differential equations 34A34 Nonlinear ordinary differential equations and systems 65J99 Numerical analysis in abstract spaces

### Keywords:

Blasius’ equation; Howarth’s numerical solution
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### References:

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