An iterative method for solving the Falkner–Skan equation

We propose a new iterative method to solve the boundary value problems (BVPs) of the Falkner–Skan equation over a semi-infinite interval. In our approach, we use the free boundary formulation to truncate the semi-infinite interval into a finite one. Then we use the shooting method to transform the BVP into initial value problems (IVPs). In order to find the “shooting angle” and the unknown free boundary, a modification of the classical Newton’s...