A Physics Informed Neural Network for Time-Dependent Nonlinear and Higher Order Partial Differential Equations.
Revanth MatteySusanta GhoshPublished in: CoRR (2021)
Keyphrases
- partial differential equations
- higher order
- high order
- neural network
- diffusion equation
- nonlinear partial differential equations
- finite difference
- anisotropic diffusion
- image denoising
- difference equations
- ordinary differential equations
- nonlinear diffusion
- natural images
- fourth order
- boundary value problem
- numerical solution
- conservation laws
- level set
- image processing
- numerical algorithms
- differential equations
- energy functional
- pairwise
- scalar valued
- curve evolution
- image enhancement
- problems in image processing
- markov random field
- pattern recognition
- finite difference method
- numerical methods
- mathematical morphology
- denoising
- ambrosio tortorelli
- nonlinear diffusion filtering
- similarity measure