Chapter 10.03: Lesson: Elliptic PDEs: Gauss-Seidel Method

Learn how to solve an elliptic partial differential equation using Gauss-Seidel Method.

[carmenp]

Thank you!!! Before watching your video I was freaking out because I didn't understand this method ... after the explanation and the relaxing background music I was feeling so much better.

[Wallace]

Best explanation on youtube and whole Internet. Thank you so much.

[timcuatt]

The background music is a surprisingly good antidote for the study-stress of those like me. Nice video!

[lowhaoming]

students will definitely fail all the mathematic related subjects if without these random Indian guys from YouTube. Appreciate that!

P.S. not only maths, sciences also

[deenahalim]

thank you for the tutorial, do u have the implicit method in PDE video?

[nicoskal]

Thank you for your content and the great way of presenting it. What would be the difference here if we used the Jacobi iterative method? It doesn't look any different from this example, no?

[saniamusaib]

thank you so much, sir..it really helped me alot to recollect steps taught in the past which had vanished...

[xampactau]

i wonder does the path for nodes that we are choosing makes any difference?
Which node will come after T(1, 4)?

[abhishekchakrabarty]

Thank you..you made my doubts clear...now I can implement in C++ with this logic

[olivermasters]

finite difference method is how you set up your linear equation system. gauss seidel is the method to solve the system. another method to solve the system is the jacobi method

[sonicyouth]

Great video. Which changes should be made to change it to the S.O.R method.

[AnupKumar-wked]

Very good video, fantastic explanation of the concept. Thank you.

[antipixl]

It's a really good explanation, thank you!

[Kram]

Hmm...
Would it be useful/faster and or more accurate, to do this multi-resolution based?
For instance, you could take a mesh with resolution 2*2 to get only the center node and nodes on the border and then do the calculation for that center node.
Then, that node wont change any longer, so subdivide once more. That adds 8 more nodes. With the 9 nodes, do few iterations (the guesses should be much closer) and if you're suffiiciently close, subdivide again, etc.

[antoine]

Did you make a video about jacobi method too ?

[abhi.achoudhary]

Great video! What is the background music? Could you share the link please?
Thank you.

[tsiTSHWANELO]

What would be the best way to do the iterations on MATLAB?

[numericalmethodsguy]

This has turned out to be a less expensive affair as the grant has run out. It cost $250/hr excluding my time to make the video on whiteboard. I am going to use my iPad to make videos after I finish the PDE videos.

[aniszouaoui]

thank you very much very good explaination

[mourizia]

Quick question: If the internal node assumption was not stated, can I start by guessing all nodes to be at temp 50 degees for example?