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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