Numerical Computation of Partial Differential Equations by Hidden-Layer Concatenated Extreme Learning Machine

no code implementations • 24 Apr 2022 • Naxian Ni, Suchuan Dong

The HLConcELM method can produce highly accurate solutions to linear/nonlinear PDEs when the last hidden layer of the network is narrow and when it is wide.

A Method for Representing Periodic Functions and Enforcing Exactly Periodic Boundary Conditions with Deep Neural Networks

no code implementations • 15 Jul 2020 • Suchuan Dong, Naxian Ni

We present a simple and effective method for representing periodic functions and enforcing exactly the periodic boundary conditions for solving differential equations with deep neural networks (DNN).