The Finite Difference Method (1D)

This video explains what the finite difference method is and how it can be used to solve ordinary differntial equations & partial differential equations.

Contents:
- What is the finite difference method
- Calculating finite difference coefficients and setting up the equations
- Splitting up a domain into finite differences
- Applying forward, central, and backwards differences
- How to calculate the finite difference coefficients
- How the approximation changes with both step-size and order

Future videos in this series will include:

-Solving non-linear ODEs and PDEs with iterative methods
-Solving 2D problems with Dirichlet and Neumann boundary equations
-Solving physics equations such as the heat equation with non-uniform material properties

Видео The Finite Difference Method (1D) канала Dave's Space