A novel improved extreme learning machine algorithm in solving ordinary differential equations by Legendre neural network methods

Abstract This paper develops a Legendre neural network method (LNN) for solving linear and nonlinear ordinary differential equations (ODEs), system of ordinary differential equations (SODEs), as well as classic Emden–Fowler equations. The Legendre polynomial is chosen as a basis function of hidden n...

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Bibliographic Details
Main Authors: Yunlei Yang, Muzhou Hou, Jianshu Luo
Format: Article
Language:English
Published: SpringerOpen 2018-12-01
Series:Advances in Difference Equations
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13662-018-1927-x