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.


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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