A Second-Order Network Structure Based on Gradient-Enhanced Physics-Informed Neural Networks for Solving Parabolic Partial Differential Equations.
Kuo SunXinlong FengPublished in: Entropy (2023)
Keyphrases
- network structure
- partial differential equations
- neural network
- fourth order
- image denoising
- network analysis
- anisotropic diffusion
- finite difference
- numerical solution
- high order
- social networks
- level set
- image processing
- difference equations
- link prediction
- image enhancement
- mumford shah model
- complex networks
- social influence
- numerical algorithms
- dynamic networks
- pattern recognition
- energy functional
- curve evolution
- network size
- real world networks
- multiscale
- differential equations
- finite difference method
- numerical methods
- diffusion equation
- higher order
- numerical scheme
- edge detection
- nonlinear diffusion
- boundary value problem
- back propagation
- conservation laws
- denoising
- feature extraction
- image analysis
- small world
- noise removal
- numerical simulations
- combinatorial optimization
- lattice boltzmann