RUNGE-KUTTA: SHORT Explanation + Python script

Published: 07 June 2022
on channel: Matthew #314 Engineering
11,367
309

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.

Link to the script: https://github.com/matthews314/runge-...

Leave a like and subscribe for more videos about numerical methods and programming (and more engineering stuff)!

#Mathematics #Maths #Numeric #Programming #Coding #Code #Integration #Simulation #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's 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 functions
▶ Runge-Kutta programming functions

Music:
Unfeel - Beach
I regularly purchased a subscription to inaudio.org and downloaded the music from there.


On this page of the site you can watch the video online RUNGE-KUTTA: SHORT Explanation + Python script with a duration of hours minute second in good quality, which was uploaded by the user Matthew #314 Engineering 07 June 2022, share the link with friends and acquaintances, this video has already been watched 11,367 times on youtube and it was liked by 309 viewers. Enjoy your viewing!