A non-iterative numerical approach for two-dimensional viscous flow problems governed by the Falkner-Skan equation

In this paper, a non-iterative numerical approach for two-dimensional lamin ar viscous flow over a semi-infinite flat plane, governed by the Falkner-Sk an equation is proposed. This approach can solve the non-linear Falkner-Ska n equation without any iteration and verifies that a direct numerical appro ach could be proposed even for non-linear problems. Furthermore, this appro ach can also provide a family of iterative formulae, so that it logically c ontains traditional iterative techniques. Copyright (C) 2001 John Wiley & S ons, Ltd.