Heat Equation: Diffusion and Temperature Distribution

This lecture covers the concept of heat diffusion and temperature distribution modeled by the heat equation on a two-dimensional grid. Starting with the basics of thermal equilibrium and diffusion coefficients, the instructor explains the process of heat transfer and the evolution of temperature profiles over time. Through examples and code demonstrations in a Jupyter Notebook, students learn how to simulate and analyze the diffusion of heat sources in different scenarios. The lecture also delves into the effects of changing parameters on temperature distributions and the importance of understanding thermal equilibrium in complex systems.