Modeling Nonlinear Complex PDEs with AI: A Physics-Informed Neural Network (PINN) Tutorial

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  • Опубліковано 28 січ 2025

КОМЕНТАРІ • 9

  • @MamadouDiallo-vs3yw
    @MamadouDiallo-vs3yw 10 місяців тому

    Hello dear Aidan,
    Great work and thanks for sharing.
    I have the following few questions:
    1) How did you choose your loss weights?
    2) Can you please visualise the PINN solution at certain points (e.g. (0, 0), (0.5, 0.5), (1, 1)) over time. I mean visualising the PINN solution (on the y-axis) over time (on the x-axis).
    Thank you for your time and patience.

    • @AidanScudder
      @AidanScudder  8 місяців тому

      Hello and thank you!
      1) We chose our loss weights through experimentation and finding the combination of weights that resulted in the best model convergence for this specific problem & model architecture
      2) The solution can be visualized at different points by editing the Matplotlib logic that decides what gets displayed
      Let me know if you have any further questions :)

  • @parthasarathygomadam9307
    @parthasarathygomadam9307 11 місяців тому

    Hi great work! Wondering if there is a Matlab version of this code. Thanks

    • @AidanScudder
      @AidanScudder  10 місяців тому

      Hi, we currently do not have a matlab implementation, but please contribute to our repository if you make one! :)

  • @anelengcongo166
    @anelengcongo166 11 місяців тому

    Good day, when I try to rerun your code "temperature_data.npz" file is missing on github as a result I get an error. Please assist where can I find this file?

    • @AidanScudder
      @AidanScudder  11 місяців тому +1

      Hello, this is most likely because I'm including *.npz in the .gitignore file, which means that it isn't on GitHub and you will have to generate the data on your computer using the Heat2dFDM file: github.com/aid4nscud/PINNResearch/blob/main/problems/scripts/Heat2dFDM.py

    • @anelengcongo166
      @anelengcongo166 11 місяців тому +1

      @@AidanScudder Thank you for your response,I will try it and run it again.

  • @raghavsinghal6640
    @raghavsinghal6640 10 місяців тому

    Hii, I am looking for the code of "2D Heat Equation with Hard Boundary and Initial Conditions using PINN" but the github link is showing error. Could you please provide me the code or some link? Thank you

    • @AidanScudder
      @AidanScudder  10 місяців тому

      Hi, I changed the folder structure so that’s probably why the old link didn’t work, but here is the correct link:
      github.com/aid4nscud/PINNResearch/blob/main/problems/scripts/Heat2d.py