Solution of the one-dimensional Bratu equation arising in the fuel ignition model using ANN optimised with PSO and SQP

In this paper, an efficient procedure based on the neural networks methodology is presented for the solution of the fuel ignition model in one dimension. The neural networks were optimised with the particle swarm optimisation algorithm hybridised with sequential quadratic programming. The accuracy a...

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Veröffentlicht in:	Connection science Jg. 26; H. 3; S. 195 - 214
1. Verfasser:	Raja, Muhammad Asif Zahoor
Format:	Journal Article
Sprache:	Englisch
Veröffentlicht:	Abingdon Taylor & Francis 01.09.2014 Taylor & Francis Ltd
Schlagworte:	Accuracy boundary value problems Convergence Monte Carlo simulation Neural networks Optimization algorithms particle swarm optimisation Quadratic programming sequential quadratic programming solid fuel ignition model
ISSN:	0954-0091, 1360-0494
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Abstract	In this paper, an efficient procedure based on the neural networks methodology is presented for the solution of the fuel ignition model in one dimension. The neural networks were optimised with the particle swarm optimisation algorithm hybridised with sequential quadratic programming. The accuracy and convergence of the scheme are analysed by Monte Carlo simulations and their statistical analyses for three test cases of the problem represented by Bratu-type equations. It was found that the hybrid approach converges in all cases, and can solve the problem with higher accuracy and reliability than most of the methodologies used so far to solve this problem.
AbstractList	In this paper, an efficient procedure based on the neural networks methodology is presented for the solution of the fuel ignition model in one dimension. The neural networks were optimised with the particle swarm optimisation algorithm hybridised with sequential quadratic programming. The accuracy and convergence of the scheme are analysed by Monte Carlo simulations and their statistical analyses for three test cases of the problem represented by Bratu-type equations. It was found that the hybrid approach converges in all cases, and can solve the problem with higher accuracy and reliability than most of the methodologies used so far to solve this problem.
Author	Raja, Muhammad Asif Zahoor
Author_xml	– sequence: 1 givenname: Muhammad Asif Zahoor surname: Raja fullname: Raja, Muhammad Asif Zahoor email: rasifzahoor@yahoo.com, muhammd.asif@ciit-attock.edu.pk, asif.phdee10@iiu.edu.pk organization: Department of Electrical Engineering, COMSATS Institute of Information Technology
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SubjectTerms	Accuracy boundary value problems Convergence Monte Carlo simulation Neural networks Optimization algorithms particle swarm optimisation Quadratic programming sequential quadratic programming solid fuel ignition model
Title	Solution of the one-dimensional Bratu equation arising in the fuel ignition model using ANN optimised with PSO and SQP
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