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 in MATLAB for computing the derivatives of opposing automotive motions on piezoelectric cells. The goal of this study is to investigate the accuracy and efficiency of different finite differences methods in MATLAB 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 they can be used to compute the derivatives of the opposing automotive motions on piezoelectric cells. We discuss the selection of the step size and the order of the finite difference formulas, and present a comparative 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 and efficient method for computing the derivatives of opposing automotive motions on piezoelectric cells. This method provides the most accurate approximation of the derivative, while also being computationally efficient. The findings of this study provide insights into the selection and optimization of finite differences methods in MATLAB for computing the derivatives of opposing automotive motions on piezoelectric cells for velocity and acceleration.