Convergence of parameters of heat equation #199
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AliaNajwaMY
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I'm currently trying to solve the problem u_tt - a* u_xx -b * u_x -c * u =0 when x \in [0,1] and t \in [0,1]. The boundary condition is u(t, 0)=u(t,1 )=0 and the initial condition is u(x,0)=sin(pi x). In my code, I'm trying to recover a, b and c (variables) when the a, b and c that I originally wanted is non 0. I have tried to solve this problem using the PINN model from the necromancer package.
To code up this problem, I used the code in https://colab.research.google.com/github/pnnl/neuromancer/blob/master/examples/PDEs/Part_3_PINN_BurgersEquation_inverse.ipynb as a reference, and changed the generation of data. The rest of the code should be similar. My question is: why am i unable to recover the parameters a, b and c?
Here is my code:
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