Lectures related to Partial Differential Equations: Laplace Equation

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

Covers the basics of Partial Differential Equations, including well-posedness, operators, and classification of physical PDEs.

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

Explores Boundary Value Problems in Elasticity, stress-strain relations, and the use of Green's function in solving elasticity problems.

Explores the behavior of naturally curved hair in a 2D space under gravity.

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

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