Nuclear Diffusion Solver

This project implements numerical methods to solve the neutron diffusion equation in one and two dimensions, with applications to nuclear engineering.

We solve the neutron diffusion equation:

$$\partial \phi/\partial t$$

∂φ/∂t = D ∂²φ/∂x² − Σₐ φ + S(x,t)

using classical and modern numerical methods.

• 1D diffusion equation
• Finite Difference Method
• Dirichlet boundary conditions
• Comparison with analytical solutions

• 2D solvers to 3D solvers
• Advanced numerical methods
• Nuclear engineering relevance

• Project initialized. Numerical implementation in progress.