Chebyshev finite difference method for the solution of boundary-layer equations

A new Chebyshev finite difference method is proposed for solving the governing equations of the boundary-layer flow. The Falkner-Skan equation has been solved as a model problem. The more general problem of the equations governing magnetohydrodynamic three dimensional free convection on a vertical stretching surface is solved. 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.