The use of the trapezoidal method for solving the Tacoma Narrows Bridge model

Document Type : Research Paper


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


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.


Articles in Press, Corrected Proof
Available Online from 18 October 2022
  • Receive Date: 06 March 2022
  • Revise Date: 15 August 2022
  • Accept Date: 08 September 2022
  • First Publish Date: 18 October 2022