# Quantum-behaved particle swarm optimization with ring topology and its application in estimating temperature-dependent thermal conductivity

Tian, Na, Sun, Jun, Xu, Wenbo and Lai, Choi-Hong (2011) *Quantum-behaved particle swarm optimization with ring topology and its application in estimating temperature-dependent thermal conductivity.* Numerical Heat Transfer, Part B: Fundamentals: An International Journal of Computation and Methodology, 60 (2). pp. 73-95. ISSN 1040-7790 (Print), 1521-0626 (Online) (doi:10.1080/10407790.2011.594392)

## Abstract

A quantum-behaved particle swarm optimization with ring topology is proposed to estimate the temperature-dependent thermal conductivity in transient heat conduction problems. No priori information is available on the functional form of the unknown thermal conductivity, so this inverse problem is classified as function estimation by inverse calculation. Considering the ill-posedness of the inverse problem, the Tikhonov regularization method is used to stabilize the solution. The numerical results indicate the validity and stability of the proposed method by using just boundary measurements. Comparison with the classic quantum-behaved particle swarm optimization and other stochastic intelligent algorithms such as particle swarm optimization, genetic algorithm, is also presented.

Item Type: | Article |
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Uncontrolled Keywords: | quantum-behaved particle swarm optimization, ring topology, thermal conductivity, the Tikhonov regularization method, stochastic intelligent algorithms, genetic algorithm |

Subjects: | Q Science > Q Science (General) Q Science > QA Mathematics |

School / Department / Research Groups: | School of Computing & Mathematical Sciences Faculty of Architecture, Computing & Humanities > School of Computing & Mathematical Sciences School of Computing & Mathematical Sciences > Department of Computer Systems Technology Faculty of Architecture, Computing & Humanities > School of Computing & Mathematical Sciences > Department of Computer Systems Technology Faculty of Architecture, Computing & Humanities |

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Last Modified: | 22 Jul 2015 12:37 |

URI: | http://gala.gre.ac.uk/id/eprint/7484 |

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