thank you for the great work and continuous support!
I have a couple of questions about DeepOnet:
Is there an example for using DeepXDE's DeepOnet implementation for a PDE. This will greatly help in implementing my problem of the wave equation.
Is it necessary to use classical methods for obtaining a solution for training process of DeepOnet?
Can we consider DeepOnet a way to use PINN for extrapolating prediction? If we have the solution of the wave equation for t[0,5] and we feed that to DeepOnet, can DeepOnet infer an operator for predicting the solution for t[5,10]?
The equation I'm referring to is the linear wave equation with a time-dependent source function:
Hello @lululxvi and all other contributors,
thank you for the great work and continuous support! I have a couple of questions about DeepOnet:
Is there an example for using DeepXDE's DeepOnet implementation for a PDE. This will greatly help in implementing my problem of the wave equation.
Is it necessary to use classical methods for obtaining a solution for training process of DeepOnet?
Can we consider DeepOnet a way to use PINN for extrapolating prediction? If we have the solution of the wave equation for t[0,5] and we feed that to DeepOnet, can DeepOnet infer an operator for predicting the solution for t[5,10]?
The equation I'm referring to is the linear wave equation with a time-dependent source function:
f(x,t):= u_tt-cu_xx-s(x,t) where, s(x,t) = sin(2pif t)
Looking forward for your reply!