embedded runge-kutta pair, integration, set of odes
The trajectory of a charged particle propagating in a non-uniform magnetic field is calculated by solving the Lorentz force law using an embedded Runge-Kutta pair. The results show that the particle is mirrored.
animation, space, gravity, newton, embedded runge-kutta pair, angular momentum
Applying the fourth order Runge-Kutta method and the adaptive step size Runge-Kutta method to calculate the trajectories of three bodies.
explicit euler method, 4th order runge-kutta, embedded runge-kutta pair, trapezoidal method, ode
Solving a first-order ordinary differential equation using Runge-Kutta methods with adaptive step sizes.