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A finite difference method for the Falkner-Skan equation. (English) Zbl 0973.76581


MSC:

76M20 Finite difference methods applied to problems in fluid mechanics
76D10 Boundary-layer theory, separation and reattachment, higher-order effects
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References:

[1] Rosenhead, L., Laminar Boundary Layers (1963), Clarendon Press: Clarendon Press Oxford · Zbl 0115.20705
[2] Weyl, H., On the differential equations of the simplest boundary-layer problem, Ann. Math., 43, 381-407 (1942) · Zbl 0061.18002
[3] Hartree, D. R., On an equation occuring in Falkner in Skan’s approximate treatment of the equations of the boundary layer, (Proc. Cambridge Phil. Soc., 33 (1937)), 223-239 · Zbl 0017.08004
[4] Smith, A. M.O., Improved solutions of the Falkner and Skan boundary-layer equation, (Fund Paper. Fund Paper, J. Aero. Sci. (1954), Sherman M. Fairchild) · Zbl 0492.76002
[5] Cebeci, T.; Keller, H. B., Shooting and parallel shooting methods for solving the Falkner-Skan boundary-layer equation, J. Comput. Phys., 7, 289-300 (1971) · Zbl 0215.58201
[6] Na, T. Y., Computational Methods in Engineering Boundary Value Problems (1979), Academic Press: Academic Press New York · Zbl 0456.76002
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