Lectures related to Differential Relations for Internal Forces

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

Introduces arrows in beams and how to calculate deflection using differential relations.

Explores the parabolic heat equation evolution and numerical solution methods.

Covers the fixed energy propagator, including its analytic structure and examples of free particle and barrier penetration.

Explores the Sturm-Liouville problem linked to the Legendre equation and its significance in physics.

Discusses the numerical analysis of pollutant transport equations and their applications in environmental modeling.

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

Explores solving the Poisson problem using Fourier transform, discussing source terms, boundary conditions, and solution uniqueness.