Numerical Methods: Boundary Conditions and Stencils

Related lectures (25)

Page 2 of 3

Explores boundary value problems, finite difference method, and Joule heating examples in 1D.

Covers numerical methods for solving boundary value problems using finite difference, FFT, and finite element methods.

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

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

Covers Ordinary Differential Equations, first-order solutions, and numerical methods for IVP and BVP.

Explores the numerical simulation of steady convection-diffusion problems, discretization, boundary conditions, and algebraic system assembly.

Introduces finite element modeling for numerical solutions to complex problems.

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

Covers the elastic membrane boundary problem in 2D, exploring mathematical formulation and solution methods.

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