# Estimation of heat flux in inverse heat conduction problems using quantum-behaved particle swarm optimization

Tian, Na, Xu, Wenbo, Sun, Jun and Lai, Choi-Hong
(2010)
*Estimation of heat flux in inverse heat conduction problems using quantum-behaved particle swarm optimization.*
Journal of Algorithms & Computational Technology, 4 (1).
pp. 25-46.
ISSN 1748-3018
(doi:10.1260/1748-3018.4.1.25)

## Abstract

An inverse optimization algorithm based on Quantum-Behaved Particle Swarm Optimization (QPSO) is examined and applied to estimate the unknown transient heat flux applied to certain boundaries in transient heat conduction problems. Results demonstrate the accuracy, stability and validity of the QPSO method in inverse estimation of the heat flux without prior knowledge of the functional form of the unknown quantities. This paper also addresses the high computational costs of QPSO and proposes a hybrid method to reduce the computational costs by combining the advantages of a gradient method and a stochastic method. Finally comparison of the proposed hybrid method and Conjugate Gradient Method (CGM) is also included.

Item Type: | Article |
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Uncontrolled Keywords: | inverse heat conduction problem, heat flux, quantum-behaved particle swarm optimization, conjugate gradient method, hybrid algorithm |

Subjects: | 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 Mathematical Sciences Faculty of Architecture, Computing & Humanities > School of Computing & Mathematical Sciences > Department of Mathematical Sciences |

Related URLs: | |

Last Modified: | 15 Jan 2013 09:49 |

URI: | http://gala.gre.ac.uk/id/eprint/4553 |

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