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

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  • Опубліковано 23 січ 2025

КОМЕНТАРІ • 53

  • @Wallace922
    @Wallace922 3 роки тому +2

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

  • @carmen333p
    @carmen333p 4 роки тому +8

    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.

    • @pessimistic_man5847
      @pessimistic_man5847 3 роки тому

      I wish I could like this more than once. WOW! Such an excellent, calming explanation

  • @timcuatt1640
    @timcuatt1640 3 роки тому

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

  • @lowhaoming4238
    @lowhaoming4238 4 роки тому +2

    students will definitely fail all the mathematic related subjects if without these random Indian guys from UA-cam. Appreciate that!
    P.S. not only maths, sciences also

  • @deenahalim8654
    @deenahalim8654 3 роки тому +1

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

  • @saniamusaib3138
    @saniamusaib3138 9 років тому +1

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

  • @abhishekchakrabarty2930
    @abhishekchakrabarty2930 3 роки тому +1

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

  • @nicoskal85
    @nicoskal85 Рік тому

    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?

  • @AnupKumar-wk8ed
    @AnupKumar-wk8ed 8 років тому +2

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

  • @Kram1032
    @Kram1032 13 років тому +1

    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.

  • @xampactau5140
    @xampactau5140 11 років тому +2

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

  • @asmaiqbal402
    @asmaiqbal402 3 роки тому

    What is the name of playlist for this topic ???

  • @antoine1407
    @antoine1407 3 роки тому

    Did you make a video about jacobi method too ?

  • @olivermasters1428
    @olivermasters1428 12 років тому +1

    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

  • @ts1iTSHWANELO
    @ts1iTSHWANELO 11 років тому +1

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

  • @antipixl
    @antipixl 3 роки тому +1

    It's a really good explanation, thank you!

  • @abhi.achoudhary
    @abhi.achoudhary 8 років тому +2

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

    • @SaadSaad-st1nk
      @SaadSaad-st1nk 8 років тому +1

      +Abhishek Choudhary i needplz Elliptic PDEs : jacobi Method

    • @kritzelbrabp
      @kritzelbrabp 4 роки тому

      Just leaving a comment because I would like to know too.

  • @devrajgangwar6672
    @devrajgangwar6672 10 років тому +1

    good sir.............really sir very well explain by you....

  • @amritrehalia9559
    @amritrehalia9559 4 роки тому +2

    How to know Gauss-Seidel Method would be convergent here?

    • @numericalmethodsguy
      @numericalmethodsguy  4 роки тому

      autarkaw.org/2016/11/04/implications-of-diagonally-dominant-matrices/

  • @sonicyouth29
    @sonicyouth29 8 років тому +2

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

  • @mourizia1957
    @mourizia1957 8 років тому +1

    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?

  • @urbananime5484
    @urbananime5484 9 років тому +2

    Fantastic explanation, thank you

  • @sidharthmahesh1995
    @sidharthmahesh1995 4 роки тому +2

    Saved my day!!!! Ty:)

  • @stevensamuel4634
    @stevensamuel4634 6 років тому

    thanks that actually cleared up a lot of my doubts

  • @AJ-et3vf
    @AJ-et3vf 2 роки тому

    Great video sir. Thank you!

  • @nikhilpatil3518
    @nikhilpatil3518 6 років тому

    can anyone tell me how to write MATLAB Code for this problem? or else send me the link for the same so that it can help me out..

  • @geetachowdhry5696
    @geetachowdhry5696 4 роки тому +1

    very informative video! Thanks!

    • @numericalmethodsguy
      @numericalmethodsguy  4 роки тому

      Thank you. Please subscribe and ask your friends to subscribe - our goal is to get to 100,000 subscribers by the end of 2021.
      To get even more help, subscribe to the numericalmethodsguy channel ua-cam.com/users/numericalmethodsguy, and go to MathForCollege.com/nm and MathForCollege.com/ma for more resources.
      Follow the numerical methods blog at AutarKaw.org. You can also take a free massive open online course (MOOC) at canvas.instructure.com/enroll/KYGTJR
      Please share these links with your friends and fellow students through social media and email.

  • @bharatvarsha7
    @bharatvarsha7 7 років тому

    this is an awesome explanation.Thanks

  • @safaaz32
    @safaaz32 6 років тому

    can I get mathcad program for this solution

  • @mohitsancheti9739
    @mohitsancheti9739 6 років тому +1

    matlab program for this?

    • @numericalmethodsguy
      @numericalmethodsguy  6 років тому

      You will get some help from MATLAB program given here: nm.mathforcollege.com/topics/pde_elliptic.html

  • @aniszouaoui4740
    @aniszouaoui4740 7 років тому +1

    thank you very much very good explaination

  • @markkerollos
    @markkerollos 12 років тому +1

    You've been very helpful with all your videos, but I think (to me atleast) it was much easier to understand your lecture when you used a blackboard.

  • @syedelahi6282
    @syedelahi6282 9 років тому +1

    It really helped. THANKS

  • @numericalmethodsguy
    @numericalmethodsguy  12 років тому +2

    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.

  • @pga128
    @pga128 12 років тому +2

    no music please

  • @yetagesuable
    @yetagesuable 7 років тому

    It was so helpful!

  • @SaadSaad-st1nk
    @SaadSaad-st1nk 8 років тому

    i needplz Elliptic PDEs : jacobi Method

  • @pascaltorvic6246
    @pascaltorvic6246 9 років тому +8

    Thx..That was great,..but Is the music really necessary? would be better without.

  • @afern2053
    @afern2053 4 роки тому

    Thank you!

  • @TheEpicDude95
    @TheEpicDude95 6 років тому +1

    thank you sir

    • @numericalmethodsguy
      @numericalmethodsguy  6 років тому

      Thank you.
      To get even more help, subscribe to the numericalmethodsguy channel, and go to MathForCollege.com/nm and MathForCollege.com/ma for more resources and share the link with your friends through social media and email.
      Support the site by buying the textbooks at www.lulu.com/shop/search.ep?keyWords=autar+kaw&type=
      Follow my numerical methods blog at AutarKaw.org. You can also take a free online course at www.canvas.net/?query=numerical%20methods

  • @priyanshurai5939
    @priyanshurai5939 7 років тому +2

    nice

    • @numericalmethodsguy
      @numericalmethodsguy  7 років тому

      Thank you. To get even more help, subscribe to the numericalmethodsguy channel, and go to MathForCollege.com/nm and MathForCollege.com/ma for more resources and share the link with your friends. Follow my numerical methods blog at AutarKaw.org. You can also take a free online course at www.canvas.net/?query=numerical%20methods