This interactive simulation models the one-dimensional diffusion equation, allowing learners to visualize how particles or heat spread across space over time. By adjusting parameters such as diffusion coefficient and initial conditions, students explore the mathematical behavior of diffusive processes and observe real-time solutions to partial differential equations.
Learning objectives: Understand how the diffusion equation describes particle or heat transport | Investigate the effects of diffusion coefficients and boundary conditions on concentration profiles | Connect mathematical solutions to physical phenomena in nature