Fourier Double Gate Physics-Informed Neural Networks for Multiscale PDE Solutions and Spatiotemporal Field Modeling
This paper proposes the Fourier Double Gate Physics-Informed Neural Network (FDG-PINN), which integrates multiscale Fourier feature encoding, a Double Gate architecture, and adaptive loss weighting to overcome spectral bias and gradient imbalance, thereby achieving superior accuracy in solving multiscale partial differential equations and reconstructing complex spatiotemporal temperature fields.