The solution of the Blasius equation by the differential transformation method. (English) Zbl 1076.34501

Summary: The Blasius equation of boundary layer flow is a third-order nonlinear differential equation. We solved the equation using the differential transformation method. It yields not only the numerical values, but also power series closed-form solutions. The results prove that the differential transformation method is a powerful technique for nonlinear problems.


34A25 Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc.
76D10 Boundary-layer theory, separation and reattachment, higher-order effects
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