... ABSTRACT In recent years, Physics-Informed Neural Networks (PINNs) have emerged as an innovative methodology for solving Partial Differential Equations (PDEs). In this paper, Physics-Informed Neural Networks (PINNs) are introduced to solve three-dimensional frequency-domain potential flow...

... chapter is written in the form of Eq. 1. deep learning machine learning asia government artificial intelligence experiment viv frequency partial differential equation system stiffness experimental data viv response stiffness upstream oil & gas china government cylinder neural...

... SFT mathematical models are expressed by a set of partial differential equations, including four partial differential equations and four boundary conditions, totally 16 combinations. Each represents a type of SFT with a specific way by which the tube connects to the shores. They are SFT...

... interlayer pressure partial differential equation self-damped cable equation deflection vibration flexural rigidity variation cable equation curvature cable vibration wire slip radial pressure friction Fig. 1 Self-damped cable Cable Vibration Considering Internal Friction Xin Liu...

..., nonlinear waves, hydrodynamic forces, fluid-structure interactions, vortex shedding flow, etc. there are many properly posed problems of partial differential equation with boundary conditions or initial conditions. It is very difficult to seek the exact solutions of these problems and to apply the exact...