differential equation, euler, basic, euler explicit method, set of odes

A thorough walkthrough of the theoretical aspects of Euler's method. Also covers how to solve higher order ODEs.

implementation, basic, ode, explicit euler method

Basic notebook covering how to implement Euler's method, without much focus on theory

magnetism, Lorentz' law, ode, explicit euler method

Solving Lorentz force law for a charged particle traveling in a uniform magnetic field using Euler's method.

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.

animation, ode, explicit euler method

Simulates the simple pendulum and damped simple pendulum

newton, space, explicit euler method, gravity

Applying the explicit and implicit Euler methods and the fourth order Runge-Kutta method to calculate the trajectory of the Earth around the Sun.

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.

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

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

explicit euler method, lennard-jones potential

A simple physical model that approximates the interaction between a pair of neutral atoms or molecules.