Numerical Methods: Boundary Value Problems

This lecture covers numerical methods for boundary value problems, focusing on finite difference methods in 1D and 2D. It explains the general description of boundary value problems, including Dirichlet, Neumann, and Robin boundary conditions. The examples discussed include heat diffusion, catalyst reactions, and fluid flow. The lecture also delves into transient finite difference methods using the Forward-Euler approach, with practical implementations in Matlab. Concepts like thermal diffusivity, mass transfer coefficients, and stability criteria are explored through code examples and graphical representations.