Application of Homotopy Analysis Method for Solving Equation of Vehicle’s Move in the Linear Case

The aim of this paper is to present a comparison between the theoretical frameworks for the simulation of the movement of a vehicle in the linear case, one obtained using the exact solution of the equation of motion, and the other obtained with the solutions given by using homotopy analysis methods. Homotopy analysis methods allows the qualitative analysis of the dynamical system which is associated to a vehicle linear motion case, concerning the parameters involved in this equation of motion, for example, gears stages, adherence coefficient, aerodynamics coefficient, etc.