Solving Ordinary Differential Equations by means of an Artificial Neural Network (#1553)
Read ArticleDate of Conference
July 19-21, 2023
Published In
"Leadership in Education and Innovation in Engineering in the Framework of Global Transformations: Integration and Alliances for Integral Development"
Location of Conference
Buenos Aires
Authors
Martinez, Roberto Manuel
Lara, Luis Pedro
Corti, Rosa
Abstract
This article describes a method for the numerical solution of ordinary differential equations using an artificial neural network. Unlike other reported methods, the loss function is constructed from the same formalization of the differential equation and is done using Pytorch's computational resources for automatic differentiation. The proposed method is applied to the solution of four types of differential equations and the results obtained are shown. The design of the resulting neural network was aimed at its subsequent implementation in reconfigurable logic.