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Chebyshev finite difference method for the solution of boundary-layer equations. (English) Zbl 1059.76043
Summary: A Chebyshev finite difference method is proposed for solving the governing equations of boundary-layer flow. The Falkner-Skan equation has been solved as a model problem. We also solve the more general problem of the equations governing magnetohydrodynamic three-dimensional free convection on a vertical stretching surface. The comparisons between the data resulting from the present method and those obtained by others are made. The results indicate that the suggested method yields more accurate results than those computed by others.

MSC:
76M20 Finite difference methods applied to problems in fluid mechanics
76D10 Boundary-layer theory, separation and reattachment, higher-order effects
76W05 Magnetohydrodynamics and electrohydrodynamics
76R10 Free convection
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