TY - JOUR
ID - 5286
TI - An efficient computational approach for numerical solution of non-smooth dynamical systems
JO - AUT Journal of Mathematics and Computing
JA - AJMC
LA - en
SN - 2783-2449
AU - Mehrpouya, Mohammad Ali
AU - Heidary, Hossein
AD - Department of Mathematics, Tafresh University, 39518-79611, Tafresh, Iran
AD - Department of Mechanical Engineering, Tafresh University, 39518-79611, Tafresh, Iran
Y1 - 2023
PY - 2023
VL -
IS -
SP -
EP -
KW - Non-smooth dynamical equation
KW - Integral equation
KW - Simpson formula
KW - System of algebraic equations
DO - 10.22060/ajmc.2023.22596.1180
N2 - 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.
UR - https://ajmc.aut.ac.ir/article_5286.html
L1 -
ER -