Mathematical modeling and computer-aided simulation of one-degree-of-freedom mechanical system

Abstract

Mathematical modeling and computer-assisted simulation of various phenomena and processes in nature are activities stipulated in the pre-university curriculum and university analytical programs for the disciplines of physics, mathematics, computer science. In this context, the paper describes and implements in the Pascal programming language an original algorithm for the numerical resolving of second-order differential equations. Interactive simulation applications are built in the Delphi programming environment. Based on the examples, detailed described  in the paper, users can perform interactive simulation activities for any process, which from a mathematical point of view is described by a differential equation of the second degree.