%0 Journal Article
%T An efficient computational approach for numerical solution of non-smooth dynamical systems
%J AUT Journal of Mathematics and Computing
%I Amirkabir University of Technology
%Z 2783-2449
%A Mehrpouya, Mohammad Ali
%A Heidary, Hossein
%D 2023
%\ 11/18/2023
%V
%N
%P -
%! An efficient computational approach for numerical solution of non-smooth dynamical systems
%K Non-smooth dynamical equation
%K Integral equation
%K Simpson formula
%K System of algebraic equations
%R 10.22060/ajmc.2023.22596.1180
%X In this paper, an efficient computational approach based on the fantastic Simpson integral formula is developed for the numerical solution of non-smooth 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 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.
%U