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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.

MSC:

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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References:

[1] Schlichtung, H., Boundary Layer Theory, ((1979), McGraw-Hill: McGraw-Hill New York), 127-144
[2] Özisik, M. N., Basic Heat Transfer, ((1977), McGraw-Hill: McGraw-Hill New York), 224-227
[3] Na, T. Y., Computational Methods in Engineering Boundary Value Problems, ((1979), Academic Press: Academic Press New York), 137-148 · Zbl 0456.76002
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[5] Zhou, X., Differential Transformation and Its Applications for Electrical Circuits (1986), Huazhong University Press: Huazhong University Press Wuhan, China, (in Chinese)
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