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

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

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
 
 
 

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