Example: 1D steady diffusion

Related lectures (28)

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Explores water transfers simulation using the Richards equation and numerical methods.

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

Covers the Finite Volume Method for numerical flow simulation, including conservation equations, discretization methods, and boundary conditions.

Covers the basics of Partial Differential Equations, focusing on heat transfer modeling and numerical solution methods.

Explores numerical methods in biomechanics for hip implants and emphasizes understanding conditions for improved designs and patient outcomes.

Covers the fundamentals of waves, diffusion, and convection, focusing on the concepts of propagation, initial conditions, and boundary conditions.

Covers boundary conditions for heat diffusion in 1D systems.

Explains finite difference grids for computing solutions of elastic membranes using Laplace's equation and numerical methods.

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

Explores the basics of heat conduction in solids, covering Fourier's law, thermal conductivity, energy conservation, and practical applications.