Nature

Continuous and discontinuous compressible flows in a converging–diverging channel solved by physics-informed neural networks without exogenous data

Physics-informed neural networks (PINNs) are employed to solve the classical compressible flow problem in a converging–diverging nozzle. This problem represents a typical example described by the ...
Nature

Using physics-informed derivative networks to solve the forward problem of a free-convective boundary layer problem

Physics-informed neural networks (PINNs) have become powerful tools for solving various nonlinear differential equations. Although several PINN-based approaches have been widely applied to some types ...