Heat Equation: Modeling and Numerical Methods

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.