A New Constructing Rational Functions Method For Solving Lane−Emden Type Equations

A New Constructing Rational Functions Method For Solving Lane−Emden Type Equations

In this paper, a new construction machine learning method is proposed based on Rational Chebyshev polynomials to solve Lane–Emden type differential equations. The method is used for training, and the parameters are obtained by the error back propagation principle. By comparing with Chebyshev neural...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Neural processing letters 2023-04, Vol.55 (2), p.1889-1918
Hauptverfasser: He, Jilong, Zheng, Zhoushun, Du, Changfa
Format: Artikel
Sprache:eng
Schlagworte:
Artificial Intelligence
Back propagation
Back propagation networks
Chebyshev approximation
Complex Systems
Computational Intelligence
Computer Science
Deep learning
Differential equations
Genetic algorithms
Machine learning
Mathematical analysis
Methods
Neural networks
Neurons
Optimization techniques
Ordinary differential equations
Partial differential equations
Polynomials
Propagation
Rational functions
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:In this paper, a new construction machine learning method is proposed based on Rational Chebyshev polynomials to solve Lane–Emden type differential equations. The method is used for training, and the parameters are obtained by the error back propagation principle. By comparing with Chebyshev neural network proposed in [ Appl. Math. Comp. 247:100-114(2014) ][ Appl. Soft. Comp. 43:347-356(2016) ], our results are more accurate.
ISSN:1370-4621
1573-773X
DOI:10.1007/s11063-022-10968-6