A New Stochastic Technique for Painlevé Equation-I Using Neural Network Optimized with Swarm Intelligence
Joint Authors
Raja, Muhammad Asif Zahoor
Khan, Junaid Ali
Ahmad, Siraj-ul-Islam
Qureshi, Ijaz Mansoor
Source
Computational Intelligence and Neuroscience
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-07-11
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
A methodology for solution of Painlevé equation-I is presented using computational intelligence technique based on neural networks and particle swarm optimization hybridized with active set algorithm.
The mathematical model of the equation is developed with the help of linear combination of feed-forward artificial neural networks that define the unsupervised error of the model.
This error is minimized subject to the availability of appropriate weights of the networks.
The learning of the weights is carried out using particle swarm optimization algorithm used as a tool for viable global search method, hybridized with active set algorithm for rapid local convergence.
The accuracy, convergence rate, and computational complexity of the scheme are analyzed based on large number of independents runs and their comprehensive statistical analysis.
The comparative studies of the results obtained are made with MATHEMATICA solutions, as well as, with variational iteration method and homotopy perturbation method.
American Psychological Association (APA)
Raja, Muhammad Asif Zahoor& Khan, Junaid Ali& Ahmad, Siraj-ul-Islam& Qureshi, Ijaz Mansoor. 2012. A New Stochastic Technique for Painlevé Equation-I Using Neural Network Optimized with Swarm Intelligence. Computational Intelligence and Neuroscience،Vol. 2012, no. 2012, pp.1-10.
https://search.emarefa.net/detail/BIM-493382
Modern Language Association (MLA)
Raja, Muhammad Asif Zahoor…[et al.]. A New Stochastic Technique for Painlevé Equation-I Using Neural Network Optimized with Swarm Intelligence. Computational Intelligence and Neuroscience No. 2012 (2012), pp.1-10.
https://search.emarefa.net/detail/BIM-493382
American Medical Association (AMA)
Raja, Muhammad Asif Zahoor& Khan, Junaid Ali& Ahmad, Siraj-ul-Islam& Qureshi, Ijaz Mansoor. A New Stochastic Technique for Painlevé Equation-I Using Neural Network Optimized with Swarm Intelligence. Computational Intelligence and Neuroscience. 2012. Vol. 2012, no. 2012, pp.1-10.
https://search.emarefa.net/detail/BIM-493382
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-493382