Paper ID: 2205.08978

Fast Neural Network based Solving of Partial Differential Equations

Jaroslaw Rzepecki, Daniel Bates, Chris Doran

We present a novel method for using Neural Networks (NNs) for finding solutions to a class of Partial Differential Equations (PDEs). Our method builds on recent advances in Neural Radiance Field research (NeRFs) and allows for a NN to converge to a PDE solution much faster than classic Physically Informed Neural Network (PINNs) approaches.

Submitted: May 18, 2022