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Spectral Analysis of Numerical Error in Two-Dimensional Heat Diffusion

This repository contains all code, notebooks, figures, and data required to reproduce the simulations and results presented in the paper.

The project investigates numerical stability, accuracy, and anisotropy in explicit and implicit solvers for the 2D heat equation, with a primary focus on the Peaceman–Rachford Alternating Direction Implicit (ADI) method.

How to run

Go to Final_report/Heat_Diffusion_Physics_77.ipynb, and run all cells. It will produce all figures generated within the paper.

Requirements

Specified in requirement.txt.

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