Search: 4th order runge-kutta

9 results

Mechanics 2

  Stabilising an Inverted Pendulum on a Cart

4th order runge-kutta, system of equations, animation

The 4th order Runge-Kutta method was used to integrate the equations of motion for the system, then the pendulum was stabilised on its inverted equilibrium point using a proportional gain controller and linear quadratic regulator.

  Projectile motion

4th order runge-kutta, Big Bertha, ode, explicit euler method, set of odes

Computing the trajectory of a projectile moving through the air, subject to wind and air drag.

Astrophysics 2

Mechanics 1

  Roller Coaster

interpolation, animation, gravity, newton, 4th order runge-kutta, cubic splines

The motion of a rolling object on an arbitrary track is analyzed.

Electromagnetism 1

  Quadrupole Mass Spectrometer

4th order runge-kutta, electricity, magnetism, voltage

Using numerical tools to describe and analyse a quadrupole mass spectrometer.

Astrophysics 1

  Lagrange Points

newton, 4th order runge-kutta, space, lagrange, gravity

Studying how a third mass behaves in the effective gravitational potential resulting from two opposing masses (here: Sun and Earth).

Ordinary Differential Equations 2

  Adaptive Runge-Kutta Methods

4th order runge-kutta, embedded runge-kutta pair, trapezoidal method, ode, explicit euler method

Solving a first-order ordinary differential equation using Runge-Kutta methods with adaptive step sizes.

  Runge-Kutta Methods

4th order runge-kutta, ode, explicit euler method

Solving a first-order ordinary differential equation using the Runge-Kutta method.