Solve 2D Partial Differential Equations Using Deep Learning

Can MATLAB center give more cases concerning solving 2D Partial Differential Equations (i.e., Heat transport equation) Using Deep Learning?

Compared with solving the 1D Burger's equation with deep learning (https://ch.mathworks.com/help/deeplearning/ug/solve-partial-differential-equations-using-deep-learning.html), how can I set the boundary and initial conditions during the process of solving 2D PDEs?

[CSCh]

Hi JULEI, I did not understand your question. In principle, you have to expand the 1D case to 2D easily by initialize your initial conditions for 2 variables, e.g, x,y and also the PDE u,v.

Regrads,

Chris

[Torsten]

@ Chris:

See e.g.

https://arxiv.org/abs/1708.07469

[JULEI]

@CSCh Hi Chirs, can you show me the boundary and intial conditions in your 2D N-S equation case?