M. Beisembekov

APPLICATION OF PHYSICALLY-ORIENTED NEURAL NETWORKS TO SOLVING PROBLEMS OF LINEAR PARTIAL DERIVATIVE EQUATIONS WITH INHOMOGENEOUS MIXED BOUNDARY CONDITIONS

The paper considers the application of Physics-Informed Neural Networks (PINN) to solving a two-dimensional Poisson equation with inhomogeneous mixed boundary conditions. The PINN method combines neural network approximations and physical laws, including the residual of the equation and errors at the boundary, into a s...