Quantum-Behaved Particle Swarm Optimization with Ring Topology and Its Application in Estimating Temperature-Dependent Thermal Conductivity

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.

Acknowledgments

This work is supported by the Fundamental Research Funds for the Central Universities (Project JUSRP21012), by the innovative research team project of Jiangnan University (Project JNIRT0702), and by National Natural Science Foundation of China (Project 60973094).