Document Type : Research Paper

Authors

• Mohammad Ali Mehrpouya ¹
• Mehdi Shahini ²

¹ Department of Mathematics, Tafresh University, Tafresh 39518 79611, Iran

² Department of Mathematics and Statistics, Faculty of Basic Sciences, Gonbad Kavous University, Gonbad Kavous, Iran

Abstract

In this paper, an efficient method is developed for the approximate solution of a benchmark non-smooth dynamical system. In the proposed method, the trapezoidal method is utilized for solving the Tacoma Narrows Bridge equation. For this purpose, at first, the integral form of the dynamical equation is considered. Afterwards, the obtained integral equation is discretized by the trapezoidal method. The accuracy and performance of the proposed method are examined by means of some numerical experiments.

Keywords

• Non-smooth dynamical system
• Integral equation
• Numerical method