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The Finite Difference Method (1D) 2 года назад


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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

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