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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
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