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Neural Processing Letters
Erschienen in: Neural Processing Letters 2/2019

05.09.2018

Solving Partial Differential Equation Based on Bernstein Neural Network and Extreme Learning Machine Algorithm

verfasst von: Hongli Sun, Muzhou Hou, Yunlei Yang, Tianle Zhang, Futian Weng, Feng Han

Erschienen in: Neural Processing Letters | Ausgabe 2/2019

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Abstract

In this paper, we introduce a new method based on Bernstein Neural Network model (BeNN) and extreme learning machine algorithm to solve the differential equation. In the proposed method, we develop a single-layer functional link BeNN, the hidden layer is eliminated by expanding the input pattern by Bernstein polynomials. The network parameters are obtained by solving a system of linear equations using the extreme learning machine algorithm. Finally, the numerical experiment is carried out by MATLAB, results obtained are compared with the existing method, which proves the feasibility and superiority of the proposed method.
Vorheriger Artikel Finite-Time Synchronization of Memristive Neural Networks with Proportional Delay
Nächster Artikel Daily Urban Water Demand Forecasting Based on Chaotic Theory and Continuous Deep Belief Neural Network

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Metadaten
Titel
Solving Partial Differential Equation Based on Bernstein Neural Network and Extreme Learning Machine Algorithm
verfasst von
Hongli Sun
Muzhou Hou
Yunlei Yang
Tianle Zhang
Futian Weng
Feng Han
Publikationsdatum
05.09.2018
Verlag
Springer US
Erschienen in
Neural Processing Letters / Ausgabe 2/2019
Print ISSN: 1370-4621
Elektronische ISSN: 1573-773X
DOI
https://doi.org/10.1007/s11063-018-9911-8

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