Deep neural network for solving differential equations motivated by Legendre-Galerkin approximation.
Bryce ChudomelkaYoungjoon HongHyunwoo J. KimJinyoung ParkPublished in: CoRR (2020)
Keyphrases
- differential equations
- neural network
- continuous functions
- difference equations
- feed forward artificial neural networks
- numerical integration
- runge kutta
- dynamical systems
- numerical solution
- ordinary differential equations
- numerical methods
- nonlinear differential equations
- artificial neural networks
- partial differential equations
- brownian motion
- pattern recognition
- boundary value problem
- transmission line
- back propagation
- markov chain
- network model
- activation function
- approximation algorithms
- multiresolution
- search algorithm