Amirkabir University of Technology AUT Journal of Mathematics and Computing 2783-2449 6 1 2025 01 01 An efficient computational approach for numerical solution of non-smooth dynamical systems 1 8 5286 10.22060/ajmc.2023.22596.1180 EN Mohammad Ali Mehrpouya Department of Mathematics, Tafresh University, P.O. Box 39518-79611, Tafresh, Iran 0000-0001-9598-4943 Hossein Heidary Department of Mechanical Engineering, Tafresh University, P.O. Box 39518-79611, Tafresh, Iran Journal Article 2023 08 03 In this paper, an efficient computational approach based on the fantastic Simpson integral formula is developed for the numerical solution of nonsmooth dynamical equations. In the proposed approach, at first, the integral reformulation of the target problem is intended. Then, the Simpson formula is employed to discretize the obtained integral equation. It is mentioned that, the implementation of the method is simple, so, the method can be simply and quickly used to solve<br />a wide variety of non-smooth dynamical systems arising in the various engineering models. Numerical experiments of two benchmark examples are presented at the end and the efficiency of the method is reported. https://ajmc.aut.ac.ir/article_5286_48237d9f2dea8c74c2a72126cf63d933.pdf