Top "Runge-kutta" questions

Runge–Kutta methods are an important family of implicit and explicit iterative methods, which are used in temporal discretization for the approximation of solutions of ordinary differential equations.

Fourth-order Runge–Kutta method (RK4) collapses after a few iterations

I'm trying to solve: x' = 60*x - 0.2*x*y; y' = 0.01*x*y - 100* y; using the fourth-order Runge-Kutta algorithm. Starting …

matlab differential-equations integral runge-kutta
Runge Kutta method in python

These are the functions I have written: def rk4(f, t0, y0, h, N): t = t0 + arange(N+1)*h y = …

python ode differential-equations runge-kutta
Why is Verlet integration better than Euler integration?

Can someone explain to me why Verlet integration is better than Euler integration? And why RK4 is better than Verlet? …

physics game-physics verlet-integration runge-kutta
Solve a system of equations with Runge Kutta 4: Matlab

I want to solve a system of THREE differential equations with the Runge Kutta 4 method in Matlab (Ode45 is not …

matlab runge-kutta
Runge-Kutta 4th order method to solve second-order ODES

I am trying to do a simple example of the harmonic oscillator, which will be solved by Runge-Kutta 4th order …

python ode runge-kutta