Abstract: | In this paper, a non‐iterative numerical approach for two‐dimensional laminar viscous flow over a semi‐infinite flat plane, governed by the Falkner–Skan equation is proposed. This approach can solve the non‐linear Falkner–Skan equation without any iteration and verifies that a direct numerical approach could be proposed even for non‐linear problems. Furthermore, this approach can also provide a family of iterative formulae, so that it logically contains traditional iterative techniques. Copyright © 2001 John Wiley & Sons, Ltd. |