Heat Equation: Modeling and Numerical Methods

Related lectures (29)

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

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

Covers internal heat transfer effects in heterogeneous reactions, emphasizing dimensionless numbers and transport effects.

Covers the stability analysis of ODEs using numerical methods and discusses stability conditions.

Covers numerical methods for solving boundary value problems using finite difference, FFT, and finite element methods.

Explores unconfined flow in computational geomechanics, emphasizing weak form derivation and relative permeability.

Explores boundary value problems, finite difference method, and Joule heating examples in 1D.

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

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

Explores transient flow in porous media, covering governing equations, stability conditions, and numerical methods.