Modified Fourth-Order Runge-Kutta Method Based on Trapezoid Approach

Abstract

This paper analyzes the modification of fourth order Runge-Kutta Method based on Trapezoid approach for calculating a distance of accelerometer sensor. This modification is done to obtain the fourth-order Runge-Kutta method to calculate a more accurate and precise position. In this research, we compared the result between original fourth-order Runge-Kutta Method and modified fourth-order Runge-Kutta Method. We also compared the accuracy and precision of those methods. The result shows that modified fourth-order Runge-Kutta Method has a better accuracy and precision. Original fourth-order Runge-Kutta Method has an average inaccuracy value of 4.93%, and modified fourth-order Runge-Kutta Method has an average inaccuracy value of 4.11%. Meanwhile, for the precision level, original fourth-order Runge-Kutta Method has average imprecision value of 32.52%, and modified fourth-order Runge-Kutta Method has average imprecision value of 29.66%.