A comparison on accuracy of numerical methods: an application to a varying mass system based on wavelet transform

  • Authors:

  • Vincenzo Niola;Rosario Oliviero;Giuseppe Quaremba

  • Affiliations:

  • Department of Mechanical Engineering for Energetics, University of Naples "Federico II", Napoli, Italy;University of Naples "Federico II", Napoli, Italy;University of Naples "Federico II", Napoli, Italy

  • Venue:
  • ICCOMP'05 Proceedings of the 9th WSEAS International Conference on Computers
  • Year:
  • 2005

Quantified Score

Hi-index 0.00

Visualization

Abstract

In this paper we studied the motion of an oscillating mechanical system in presence of a varying mass. In particular, our study pointed out the smoothness of the mass trajectory, numerically calculated. The comparison analysis was performed by applying the wavelet transform to the response of mass trajectory calculated by means of several numerical methods such as finite difference schemes. Furthermore, the study involved the response obtained by superimposing several anomalies to the decreasing law of the mass. In order to put in evidence the presence of such anomalies (i.e., spikes) during the oscillating motion, we processed the numerical response by means of wavelet transform. The most adequate methods seem to be Runge-Kutta and Adams corrector-predictor.