Adams-Moulton Method Approach to Geodesic Paths on 2D Surfaces

Our aim in this paper, is applying Adams-Moulton algorithm to find the geodesics as the answers of the classical system of ordinary differential equations on a 2-dimensional surface for which a Riemannian metric is defined.

Keywords:

Adams-Moulton algorithm , Euclidean space , geodesic , navigation problem , Riemannian manifold , Runge-Kutta algorithm.