This repository contains a Jupyter notebook that demonstrates the solution to the Laplace equation in two dimensions using an iterative numerical method. The notebook covers the discretization of the Laplace equation and includes the code to solve it, as well as a detailed explanation of the mathematical proof using Taylor expansions.
This project was completed during my second year of Prépa, which is an intensive two-year preparatory course in France for students aiming to enter engineering schools. It focuses on advanced mathematics, physics, and other sciences.
- Laplace Equation Solver Notebook: The notebook contains all the Python code and the mathematical explanations to solve the equation and visualize the results.
To explore the code and explanation, simply open the Jupyter notebook in your local environment or use an online notebook viewer like JupyterLab.
- Python 3.x
- Jupyter Notebook
- numpy
- matplotlib
All the relevant content is inside the notebook.