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https://github.com/seankwarren/modeling-and-simulation-samples

A sampling of various analytical and numerical models and simulations, ranging from the newtonion physics of a slinky drop, to the simulation of 2D excitable systems with the FitzHugh-Nagumo Model.
https://github.com/seankwarren/modeling-and-simulation-samples

javascript jupyter-notebook modeling-and-simulation numerical-methods physics-simulation python

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A sampling of various analytical and numerical models and simulations, ranging from the newtonion physics of a slinky drop, to the simulation of 2D excitable systems with the FitzHugh-Nagumo Model.

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# Modeling and Simulation Samples
A sampling of various analytical and numerical models and simulations, ranging from the newtonion physics of a slinky drop, to the simulation of 2D excitable systems with the FitzHugh-Nagumo Model. Some examples can be seen below. There is also a helpful guide to Unix for beginner's created to help brush up on Unix Essentials when the occassions arise. Special thanks to Dr Abouzar for Abubu.js package for webGL abstraction

Many masses, each connected by a spring:

![Multi-mass and Spring 2D](https://github.com/seankwarren/Modeling-and-Simulation-Samples/blob/main/01-NewtonianPhysics/SpringsAndPendulums/multi-mass-and-spring-2d.gif?raw=true)

Three body problem using Verlet method:

![three body problem](https://github.com/seankwarren/Modeling-and-Simulation-Samples/blob/main/01-NewtonianPhysics/TwoAndThreeBodyProblem/threeBodyProblem.gif?raw=true)

A Julia set Fractal with varying parameters:

![Julia fractal](https://github.com/seankwarren/Modeling-and-Simulation-Samples/blob/main/02-FractalsAndChaoticSystems/julia.gif?raw=true)

Conway's Game of Life:

![Conway's Game of Life](https://github.com/seankwarren/Modeling-and-Simulation-Samples/blob/main/02-FractalsAndChaoticSystems/conways_game_of_life.gif?raw=true)

2D Diffusion:

![2D Diffusion PDE](https://github.com/seankwarren/Modeling-and-Simulation-Samples/blob/main/03-DiffusionAndWavePropagation/2d-diffusion_pde.gif?raw=true)

Gray-Scott Model for excitable systems:

![Gray-Scott Excitation Model](https://github.com/seankwarren/Modeling-and-Simulation-Samples/blob/main/03-DiffusionAndWavePropagation/gray-scott_model.gif?raw=true)