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A new approximate iteration solution of Blasius equation. (English) Zbl 0928.34012

Summary: An approximate analytic solution to the Blasius equation is obtained by a parameter iteration method. The comparison with Howarth’s numerical solution shows that the accuracy of the proposed method is higher than other approximate methods. Further, the author provides a numerical iteration scheme which is simple, efficient and practical.

MSC:

34A45 Theoretical approximation of solutions to ordinary differential equations
34A34 Nonlinear ordinary differential equations and systems
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References:

[1] Blasius, H., Grenzschichten in flussigkeiten mit kleiner reibung, Z. math. u. phys., 56, 1, (1908) · JFM 39.0803.02
[2] Liao, S.J., A kind of approximate solution technique which does not depend upon small parameters: (II) an application in fluid mechanics, Int. J. non-linear mechanics, 32, 5, 815-822, (1997) · Zbl 1031.76542
[3] Liao, S.J., An explicit, totally analytic solution of laminar viscous flow over a semi-infinite flat plate, Communications in nonlinear science & numerical simulation, 3, 2, 53-57, (1998) · Zbl 0922.34012
[4] He, J.H., Approximate analytical solution of Blasius equation, Communications in nonlinear science & numerical simulation, 3, 4, 260-263, (1998) · Zbl 0918.34016
[5] Howarth, L., On the solution of the laminar boundary layer equations, (), A164
[6] Lin, J. G., Parameter Iteration Method for Solving Nonlinear Problem, be accepted by Applied Mathematics and Mechanics · Zbl 0984.65069
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