Physics Informed Neural Networks (PINNs): Solving the Burgers Equation Step-by-Step Tutorial

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  • เผยแพร่เมื่อ 13 ม.ค. 2025

ความคิดเห็น • 24

  • @elastropy
    @elastropy  3 หลายเดือนก่อน

    Join our Telegram group for exclusive access to detailed discussions, resources, programming files used in the video, and extra support! It's all free-click the link below to join now. See you there!
    Telegram Group Link - telegram.me/elastropy_official

  • @azeemishaq8240
    @azeemishaq8240 3 หลายเดือนก่อน

    I love your videos and way of teaching

    • @elastropy
      @elastropy  2 หลายเดือนก่อน

      Hi @azeemishaq8240, thank you so much for the kind words! I’m really glad you enjoy the videos and my teaching style. Your support means a lot! Feel free to check out more tutorials here: th-cam.com/video/gXv1SGoL04c/w-d-xo.html.
      Looking forward to bringing more content your way!

  • @rakesh-do1hw
    @rakesh-do1hw 2 หลายเดือนก่อน

    Thats a really cool explanation of such a difficult topic...i will appreciate if you could provide jupyter notebook ,that would be really helpful for me as i have recently started learning pinns

  • @sreyanology
    @sreyanology 2 หลายเดือนก่อน

    The video is beneficial and informative. It would be good if we could get the jupyter notebook of this code.

    • @rakesh-do1hw
      @rakesh-do1hw 2 หลายเดือนก่อน

      Yup, that would be really great👍

  • @azeemishaq8240
    @azeemishaq8240 3 หลายเดือนก่อน

    Plz make video on nonlinear system of odes having 4 or 5 equations solved by pinns

    • @elastropy
      @elastropy  2 หลายเดือนก่อน

      Hi @azeemishaq8240, thanks for the suggestion! I’ll definitely consider making a video on solving nonlinear systems of PDEs using PINNs. In the meantime, we have a tutorial on solving a system of ODEs that you might find useful: th-cam.com/video/gXv1SGoL04c/w-d-xo.html&ab_channel=elastropy. Feel free to check it out and share your feedback.
      I appreciate your support!

  • @rituparnsingh6554
    @rituparnsingh6554 3 หลายเดือนก่อน

    Hi, please make a video considering this problem with periodic boundary conditions.....i could really use some help

    • @elastropy
      @elastropy  2 หลายเดือนก่อน

      Hi @rituparnsingh6554, Thank you for reaching out! I’ll definitely consider making a video on solving this problem with periodic boundary conditions. In the meantime, you can check out some examples already solved in the DeepXDE library, like this one on the Poisson equation with periodic BCs: deepxde.readthedocs.io/en/latest/demos/pinn_forward/poisson.1d.dirichletperiodic.html

  • @mageshmagesh2238
    @mageshmagesh2238 2 หลายเดือนก่อน +1

    Hello sir.I have my first project review on pinns tomorrow.Can you send this jupiter code please

    • @elastropy
      @elastropy  2 หลายเดือนก่อน

      Hi @mageshmagesh2238, thank you for reaching out and for completing the quiz! I’ve sent the source code to your email.

  • @799usman
    @799usman หลายเดือนก่อน

    how to use it for our own dataset. I have only x and t, can we use it without 'usol'...?

    • @elastropy
      @elastropy  หลายเดือนก่อน

      Hi @799usman, The dataset shown in the video tutorial is primarily used for validating the PINNs solution to the Burgers' equation. If you only have x and t, you can still use the PINNs model with your dataset. However, ensure that the x and t values in your dataset fall within the domains of x and t used during the training of the PINNs model. Outside these boundaries, the model's predictions are likely to be inaccurate or unreliable.

  • @NDDAvid123
    @NDDAvid123 2 หลายเดือนก่อน

    Please make more videos

    • @elastropy
      @elastropy  2 หลายเดือนก่อน +1

      Hi @NDDAvid123, Thank you for your interest! I’m glad you’re enjoying the videos. More content is on the way, so stay tuned!

  • @anelengcongo166
    @anelengcongo166 หลายเดือนก่อน

    Hi Please share your source code, and how would you incorporate true measured values to this? Lets say you managed to obtain some data points?

    • @elastropy
      @elastropy  หลายเดือนก่อน +1

      Hi @anelengcongo166! 😊 Thank you for your interest. Our source codes are completely free of cost. To download the source code, you’ll need to complete a small quiz-don’t worry, all the answers can be found in the video! Instructions are provided in this link: www.elastropy.com/more/unlock-free-source-codes.
      For incorporating measured data points in PINNs, we typically add a data loss term to the overall loss function, combining it with the PDE residual and boundary condition residuals. This approach ensures the model adheres to the governing physics while aligning with the true measured values.

  • @Bdhs-i8t
    @Bdhs-i8t 2 หลายเดือนก่อน

    Hi! I enjoyed your video on PINN, and I have some questions about certain details. Could you please share the code featured in the video? I've completed the quiz and sent you an email with a screenshot as proof

    • @elastropy
      @elastropy  2 หลายเดือนก่อน

      Hi @Bdhs-i8t, great to hear that you enjoyed the video! I've just emailed you the source code. Feel free to reach out if you have any more questions.

    • @Bdhs-i8t
      @Bdhs-i8t 2 หลายเดือนก่อน

      Thank you for replying, @elastropy. The source code you provided is very helpful. I have sent you another email regarding the questions I encountered in the quiz, and to share my experience of taking it. I am currently learning about PINN, and have also completed quizzes 47 to 49. I have attached the screenshots. Could you please send me the code again? I would greatly appreciate it. Thanks again.

    • @elastropy
      @elastropy  2 หลายเดือนก่อน

      Hi @@Bdhs-i8t You're welcome! 😊 I'm glad the source code helped, and thanks for pointing out the mistake. I've just sent the code in response to your email. Keep up the great work with PINNs and quizzes 47 to 49! If you have more questions or need any further help, feel free to reach out. Happy learning!

  • @uwksitary
    @uwksitary 3 หลายเดือนก่อน

    Hy, I like your videos. I am working on PINNs. Can we arange a meeting to discuss more about it? I am from Pakistan.

    • @elastropy
      @elastropy  2 หลายเดือนก่อน +1

      Hi @uwksitary, I’m really glad you liked the videos, and it’s awesome to hear that you're working on PINNs! While I’m not available for meetings at the moment, I’ll be sure to let you know when I am available. In the meantime, feel free to ask your questions here or in our Telegram group, and I’ll do my best to assist.