The Finite Difference Method (1D)
Вставка
- Опубліковано 8 вер 2024
- 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
Very informative video, especially showing the difference between the accuracy of mixed and constant high order accuracy methods.
Great lecture!!
Great work, thank you! But you should seriously consider changing the "apocalypse siren" sound in the background...
I liked !
Yeah I also really liked it, it adds an apocalyptic ambience.
So I finally learned that, using your explanation, thanks. Just a minor thing though: there is a typo on slide in time 7:50. The resulting value for f(1.75) is actually 15.8594 not 115.8594.
Great work
finally all makes sense. thanks for clear explanation
Nice video. I enjoyed and liked it.
Great video. Thank you!
Great video
Great work!
You mention the boundary conditions here, but only give the setup for Dirichlet boundary conditions (i.e. y(x_0) = c1, y(x_n+1) = c2 ) - could you also describe the process for working with Neumann (y'(x_j) = some value) and Robin (y(x_j)+y'(x_j) = some value) boundary conditions?
❤
Were doing 1D finite difference method along the length of the reactor. Can I phone a smart friend? Your future president is getting creamed by the school right now!
5:57 what happened there exactly?
Hello! Is there a way we could send you an email?