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19972024
most citedArtificial Neural Networks for Solving Ordinary and Partial Differential Equations

2.4k citations · 2.6k across the 9 of their papers we have counts for

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physics.comp-ph1997★ 2.4k cited

Artificial Neural Networks for Solving Ordinary and Partial Differential Equations

I. E. Lagaris, A. Likas, D. I. Fotiadis

We present a method to solve initial and boundary value problems using artificial neural networks. A trial solution of the differential equation is written as a sum of two parts. T…

quant-ph1997★ 167 cited

Artificial Neural Network Methods in Quantum Mechanics

I. E. Lagaris, A. Likas, D. I. Fotiadis

In a previous article we have shown how one can employ Artificial Neural Networks (ANNs) in order to solve non-homogeneous ordinary and partial differential equations. In the prese…