Lectures related to Waves and Diffusion: Fundamentals

Covers the differential approach to fluid dynamics, focusing on conservation laws and the Cauchy stress tensor.

Explores numerical methods for boundary value problems, including heat diffusion and fluid flow, using finite difference methods.

Covers the Jacobi iterative method for solving electrostatic problems and discusses convergence and practical examples.

Introduces finite element modeling for numerical solutions to complex problems.

Explores consistency and stability in numerical methods, emphasizing error analysis and the role of boundary conditions.

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

Covers finite element methods for solving diffusion problems in porous media, including meshing, interpolation, and weighted residuals.