Speeding-up The Performance of The Nonlinear Shooting Method for Solving Nonlinear BVPs

The aim in this paper is to modify and obtain less execution time of the nonlinear shooting method which used to approximate the solution of the nonlinear boundary-value problems (BVPs) .
The modification is due to replacing single step method (Runge-Kutta for systems) by multi-step method (Adam predictor-corrector of order four for systems) which is used for solving the initial value problems (IVPs) .