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Neural Computing and Applications
Erschienen in: Neural Computing and Applications 3-4/2014

01.03.2014 | Original Article

Numerical treatment for solving one-dimensional Bratu problem using neural networks

verfasst von: Muhammad Asif Zahoor Raja, Siraj-ul-Islam Ahmad

Erschienen in: Neural Computing and Applications | Ausgabe 3-4/2014

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Abstract

In this paper, numerical treatment is presented for the solution of boundary value problems of one-dimensional Bratu-type equations using artificial neural networks. Three types of transfer functions including Log-sigmoid, radial basis, and tan-sigmoid are used in the neural networks’ modeling. The optimum weights for all the three networks are searched with the interior point method. Various test cases of Bratu-type equations have been simulated using the developed models. The accuracy, convergence, and effectiveness of the methods are substantiated by a large number of simulation data for each model by taking enough independent runs.
Vorheriger Artikel Neural network nonlinear modeling for hydrogen production using anaerobic fermentation
Nächster Artikel Time-delay neural networks for time series prediction: an application to the monthly wholesale price of oilseeds in India

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Metadaten
Titel
Numerical treatment for solving one-dimensional Bratu problem using neural networks
verfasst von
Muhammad Asif Zahoor Raja
Siraj-ul-Islam Ahmad
Publikationsdatum
01.03.2014
Verlag
Springer London
Erschienen in
Neural Computing and Applications / Ausgabe 3-4/2014
Print ISSN: 0941-0643
Elektronische ISSN: 1433-3058
DOI
https://doi.org/10.1007/s00521-012-1261-2

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