Heat Equation: Core and Solutions

Related lectures (29)

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Covers boundary conditions for heat diffusion in 1D systems.

Explores diffusion from a macroscopic perspective, emphasizing the derivation of the diffusion equation through mass conservation and fixed flux law.

Explores thermal circuits and the overall heat transfer coefficient in the context of heat conduction.

Explores Fourier analysis, PDEs, historical context, heat equation, Laplace equation, and periodic boundary conditions.

Explores the applications of the Fourier equation in heat transfer phenomena.

Explains conservation of energy and Fourier's law in thermal diffusion.

Explores heat diffusion in 1D steady-state conduction with heat sources and discusses thermal resistance and Kirchhoff's laws.

Explores the heat equation in 1D, emphasizing conservation of thermal energy and numerical solution methods.

Explores the basics of the heat equation, focusing on diffusion and stability estimates.

Explores the application of Fourier transform to PDEs and boundary conditions.