Lectures related to Fourier Analysis and PDEs

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

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

Explores applications of the Fourier equation in different heat transfer scenarios.

Explores boundary conditions, basis functions, and PDE solutions using Fourier and Bessel series.

Explores the applications of the Fourier equation in heat transfer phenomena, covering conduction, convection, and radiation.

Explores the Fourier equation in 2D for a stationary regime without heat production in a semi-infinite wall.

Explores the Fourier equation in 2D for heat conduction in various scenarios, using the separation of variables method.

Covers the heat equation, its physical interpretation, and numerical methods for solving it.

Explores transient heat transfer with spatial effects, including Bi number and convective cooling.