A Comparative Analysis of Finite Differences Method in MATLAB for Computing Derivatives of Opposing Automotive Motions on Piezoelectric Cells

Abstract

This paper presents a comparative analysis of different finite differences methods inMATLAB for computing the derivatives of opposing automotive motions on piezoelectric cells. The goalof this study is to investigate the accuracy and efficiency of different finite differences methods inMATLAB for computing the derivatives of two opposing automotive movements on piezoelectric cells.The methods investigated include forward differences and backward differences for each car.We describe the implementation of the finite differences methods in MATLAB and demonstrate how theycan be used to compute the derivatives of the opposing automotive motions on piezoelectric cells. Wediscuss the selection of the step size and the order of the finite difference formulas, and present acomparative analysis of the accuracy and efficiency of each method.The results of our study show that the central differences method in MATLAB is the most accurate andefficient method for computing the derivatives of opposing automotive motions on piezoelectric cells.This method provides the most accurate approximation of the derivative, while also beingcomputationally efficient. The findings of this study provide insights into the selection and optimizationof finite differences methods in MATLAB for computing the derivatives of opposing automotive motionson piezoelectric cells for velocity and acceleration.