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Neural Computing and Applications
Erschienen in: Neural Computing and Applications 7-8/2013

01.12.2013 | Original Article

Neural network optimized with evolutionary computing technique for solving the 2-dimensional Bratu problem

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

Erschienen in: Neural Computing and Applications | Ausgabe 7-8/2013

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Abstract

In this paper, a stochastic technique is developed to solve 2-dimensional Bratu equations using feed-forward artificial neural networks, optimized with genetic and interior-point algorithms. The 2-dimensional equations are first transformed into a 1-dimensional boundary value problem, and a mathematical model of the transformed equation is then formulated with neural networks using an unsupervised error. Network weights are optimized to minimize the error. Evolutionary computing based on genetic algorithms is used as a tool for global search, integrated with an interior-point method for rapid local convergence. The methodology is applied to solve three cases of boundary value problems for the Bratu equations. The accuracy, convergence and effectiveness of the scheme is validated for a large number of simulations. Comparison of results is made with the exact solution derived using MATHEMATICA, and is found to be in good agreement.
Vorheriger Artikel Taking decisions in the expert intelligent system to support maintenance of a technical object on the basis information from an artificial neural network
Nächster Artikel Disturbance attenuation for nonlinear switched descriptor systems based on neural network

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Metadaten
Titel
Neural network optimized with evolutionary computing technique for solving the 2-dimensional Bratu problem
verfasst von
Muhammad Asif Zahoor Raja
Siraj-ul-Islam Ahmad
Raza Samar
Publikationsdatum
01.12.2013
Verlag
Springer London
Erschienen in
Neural Computing and Applications / Ausgabe 7-8/2013
Print ISSN: 0941-0643
Elektronische ISSN: 1433-3058
DOI
https://doi.org/10.1007/s00521-012-1170-4

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