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Solving Partial differential Equations using Neural Network

Solving Partial differential Equations using Neural Network

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4
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Dear All,
Anyone who is using feed forward Neural Network for solving Partial differential equations in tensorflow.
Then, please share some ideas, algorithm and codes.
Thanks

4 Answers

365 Team

Hi Sumant,
I can recommend taking a look at this (quite old) article: https://arxiv.org/pdf/physics/9705023.pdf
It should cover the theoretical background for the task.
For a more practical perspective on using TensorFlow for solving PDEs, take a look at this tutorial:
https://data-flair.training/blogs/tensorflow-pde/
Hope these resources were helpful!
Best,
Iskren

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Hello Iskren, 
The tutorial link and research paper are given by you really helpful. I would ask further help required while understanding and coding point of view.
 
Thanks

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Hello Iskren, 
   I have solved the PDE using tensorflow successfully.
But, for now I am stuck at solving the coupled equation using the tensorflow with the algorithm mentioned in the https://arxiv.org/pdf/physics/9705023.pdf   . Could you please take a look on my code and suggest the needful improvement in the code.
 
Thanks
 
 
 

365 Team
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Hi Sumant,

Glad to hear you managed to solve the PDE!

I can try taking a look for you if you would send me your code so far (maybe also include the working PDE solver example as reference).

Cheers,
Iskren

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