Numerical Methods and AI Algorithms

This project contains implementations of various numerical methods and artificial intelligence algorithms, including animations to visualize their working.

About the Project

• Created by: Arslan,Akın
• Presentation Date: 20.11.2024
• Webinar Link: Makina MMO Webinar

Features

• Finite Element Method (FEM): Simulates rectangle'sdeformation in a 2D mesh.
• Monte Carlo Method: Estimates the value of π using a random sampling technique.
• Runge Kutta: Solves the pendulum motion and visualizes energy changes over time.
• Genetic Algorithm: Finding minimize value of a function=x**2+4*sin(5x)+cos(10x) using evolutionary techniques.
• PINN (Physics-Informed Neural Network): Solves differential equations for pendulum motion.
• Gradient Descent: Finds the minimum of a quadratic function=x**2+4x+4.

Usage

Each algorithm is modularized and can be run independently. Examples for each algorithm are in the examples/ directory.

Installation

pip install -r requirements.txt

Examples

Run any example script to see the algorithm in action. For example:

python examples/fem_example.py

License

MIT License