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A simple perturbation approach to Blasius equation. (English) Zbl 1028.65085
Summary: We couple the iteration method with the perturbation method to solve the well-known Blasius equation. The obtained approximate analytic solutions are valid for the whole solution domain. Comparison with {\it L. Howarth}’s numerical solution [On the solution of the laminar boundary layer equation, Proc. R. Soc. Lond. A 164, 547-579 (1938)] reveals that the proposed method is of high accuracy, the first iteration step leads to 6.8% accuracy, and the second iteration step yields the 0.73% accuracy of initial slop.

MSC:
65L10Boundary value problems for ODE (numerical methods)
34B15Nonlinear boundary value problems for ODE
34B40Boundary value problems for ODE on infinite intervals
34B30Special ODE (Mathieu, Hill, Bessel, etc.)
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References:
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[2] He, J. H.: Variational iteration method: a kind of nonlinear analytical technique: some examples. Int. J. Nonlinear mech. 34, No. 4, 699-708 (1999) · Zbl 05137891
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[7] Howarth, L.: On the solution of the laminar boundary layer equation. Proc. R soc. Lond. A 164, 547-579 (1938) · Zbl 64.1452.01
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