Learning nonlinear integral operators via Recurrent Neural Networks and its application in solving Integro-Differential Equations

no code implementations • 13 Oct 2023 • Hardeep Bassi, Yuanran Zhu, Senwei Liang, Jia Yin, Cian C. Reeves, Vojtech Vlcek, Chao Yang

In this paper, we propose using LSTM-RNNs (Long Short-Term Memory-Recurrent Neural Networks) to learn and represent nonlinear integral operators that appear in nonlinear integro-differential equations (IDEs).

Numerical Integration