A numerical procedure based on the Backward Euler method applied to an optimal control problem in flight mechanics

Abstract

This short communication develops a numerical procedure suitable for a large class of ordinary differential equation systems found in models in physics and engineering. More specifically, we have utilized the standard Backward Euler method combined with a MAT-LAB function for obtaining a method suitable for a class of two point boundary value ODE non-linear systems. In the last section, we apply the method to a control problem in flight mechanics.