RUNGE-KUTTA: SHORT Explanation + Python script

4th order method, theory and implementation in five minutes. Runge-Kutta integration methods are used to solve Ordinary Differential Equations (ODEs) numerically. They are the more precise alternative to the Euler method, which instead uses a basic approximation and require very tight intervals. In this video we explain intuitively the most common of Runge-Kutta methods, the fourth order method, used in physical simulations - even in videogames! Moreover, we implement the algorithm in a reusable way using functions and verify graphically with matplotlib.pyplot that it works. Leave a like and subscribe for more videos about numerical methods and programming (and more engineering stuff)! #Python -------------------------------------------------- Search terms: ▶ Runge ▶ Kutta ▶ Runge Kutta ▶ RungeKutta ▶ Runge-Kutta ▶ RK4 ▶ RK 4 ▶ 4th order ▶ Runge-Kutta Method ▶ RungeKutta Method ▶ Runge Kutta Method ▶ Runge-Kutta in Python ▶ RK4 in Python ▶ Programming Runge-Kutta ▶ Programming RK4 ▶ Numerical Analysis ▶ RK4 Implementation ▶ Runge-Kutta for programmers ▶ RK4 for programmers ▶ Runge-Kutta for developers ▶ RK4 for developers ▶ Runge-Kutta for videogames ▶ RK4 for videogames ▶ ODE ▶ Differential Equations ▶ Differential Equation ▶ Ordinary Differential Equations ▶ Cauchy&Problem ▶ IVP ▶ Initial Value Problem ▶ Integrate ▶ Integral ▶ Integration ▶ How to implement Runge-Kutta ▶ Runge-Kutta with output ▶ Runge-Kutta matplotlib ▶ Runge-Kutta graphs ▶ Runge-Kutta Python...