Example: 1D steady diffusionExplores the numerical simulation of steady convection-diffusion problems, discretization, boundary conditions, and algebraic system assembly.
Fourier Analysis and PDEsExplores Fourier analysis, PDEs, historical context, heat equation, Laplace equation, and periodic boundary conditions.
Diffusion: Macroscopic ViewExplores diffusion from a macroscopic perspective, emphasizing the derivation of the diffusion equation through mass conservation and fixed flux law.
Radiative Heat TransferExplores radiative heat transfer, covering surface exchange, coupled heat transfer, and gas flow behavior in tubes.