An efficient computational approach for numerical solution of non-smooth dynamical systems

Document Type : Original Article

Authors

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

2 Department of Mechanical Engineering, Tafresh University, 39518-79611, Tafresh, Iran

Abstract

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.

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Main Subjects

AUT Journal of Mathematics and Computing

Articles in Press, Accepted Manuscript
Available Online from 18 November 2023

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