This repository contains simulations of dynamic systems using the Runge-Kutta numerical method to solve the system of differential equations governing the dynamics of various mechanical systems. These ...

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 ...

In this paper, we extend the Paired-Explicit Runge-Kutta (PERK) schemes by Vermeire et. al. to fourth-order of consistency. Based on the order conditions for partitioned Runge-Kutta methods we ...

ABSTRACT: A system of ordinary differential equations (ODEs) is produced by the semi-discretize method of discretizing the advection diffusion equation (ADE). Runge-Kutta methods of the second and ...

This simulation works by first gathering user input for constants such as rod length and pendulum mass. Next, the derivatives function calculates the equations of motion based on the current state of ...

This is a preview. Log in through your library . Abstract In this paper we present an analysis of the Runge-Kutta discontinuous Galerkin method for solving scalar conservation laws, where the time ...