Numerical solution of dirichlet boundary value problems for partial differential equations using quantum-behaved particle swarm optimization with random Gaussian function

Youngmin Ha

doi:10.1109/ICMLA.2012.126

Numerical solution of dirichlet boundary value problems for partial differential equations using quantum-behaved particle swarm optimization with random Gaussian function

Youngmin Ha^*

^*Corresponding author for this work

University of Michigan, Ann Arbor

Research output: Chapter in Book or Report/Conference proceeding › Conference Proceeding › peer-review

Abstract

A new mesh-based algorithm to solve partial differential equations (PDEs) using quantum-behaved particle swarm optimization (QPSO) with random Gaussian function and random median filter is proposed in this paper. The random Gaussian function behaves as a mutation operator of QPSO to escape from local minima, and the random median filter accelerates the convergence of QPSO. It provides accurate results for Dirichlet boundary value problems of both linear and nonlinear single PDEs in two space dimensions.

Original language	English
Title of host publication	Proceedings - 2012 11th International Conference on Machine Learning and Applications, ICMLA 2012
Pages	675-680
Number of pages	6
DOIs	https://doi.org/10.1109/ICMLA.2012.126
Publication status	Published - 2012
Externally published	Yes
Event	11th IEEE International Conference on Machine Learning and Applications, ICMLA 2012 - Boca Raton, FL, United States Duration: 12 Dec 2012 → 15 Dec 2012

Publication series

Name	Proceedings - 2012 11th International Conference on Machine Learning and Applications, ICMLA 2012
Volume	1

Conference

Conference	11th IEEE International Conference on Machine Learning and Applications, ICMLA 2012
Country/Territory	United States
City	Boca Raton, FL
Period	12/12/12 → 15/12/12

Keywords

artificial intelligence
computational intelligence
evolutionary computation
partial differential equation
quantum-behaved particle swarm optimization

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10.1109/ICMLA.2012.126

Cite this

Ha, Y. (2012). Numerical solution of dirichlet boundary value problems for partial differential equations using quantum-behaved particle swarm optimization with random Gaussian function. In Proceedings - 2012 11th International Conference on Machine Learning and Applications, ICMLA 2012 (pp. 675-680). Article 6406647 (Proceedings - 2012 11th International Conference on Machine Learning and Applications, ICMLA 2012; Vol. 1). https://doi.org/10.1109/ICMLA.2012.126

Ha, Youngmin. / Numerical solution of dirichlet boundary value problems for partial differential equations using quantum-behaved particle swarm optimization with random Gaussian function. Proceedings - 2012 11th International Conference on Machine Learning and Applications, ICMLA 2012. 2012. pp. 675-680 (Proceedings - 2012 11th International Conference on Machine Learning and Applications, ICMLA 2012).

@inproceedings{a95184ca2b9543daa10364c7c8aedae0,

title = "Numerical solution of dirichlet boundary value problems for partial differential equations using quantum-behaved particle swarm optimization with random Gaussian function",

abstract = "A new mesh-based algorithm to solve partial differential equations (PDEs) using quantum-behaved particle swarm optimization (QPSO) with random Gaussian function and random median filter is proposed in this paper. The random Gaussian function behaves as a mutation operator of QPSO to escape from local minima, and the random median filter accelerates the convergence of QPSO. It provides accurate results for Dirichlet boundary value problems of both linear and nonlinear single PDEs in two space dimensions.",

keywords = "artificial intelligence, computational intelligence, evolutionary computation, partial differential equation, quantum-behaved particle swarm optimization",

author = "Youngmin Ha",

year = "2012",

doi = "10.1109/ICMLA.2012.126",

language = "English",

isbn = "9780769549132",

series = "Proceedings - 2012 11th International Conference on Machine Learning and Applications, ICMLA 2012",

pages = "675--680",

booktitle = "Proceedings - 2012 11th International Conference on Machine Learning and Applications, ICMLA 2012",

note = "11th IEEE International Conference on Machine Learning and Applications, ICMLA 2012 ; Conference date: 12-12-2012 Through 15-12-2012",

}

Ha, Y 2012, Numerical solution of dirichlet boundary value problems for partial differential equations using quantum-behaved particle swarm optimization with random Gaussian function. in Proceedings - 2012 11th International Conference on Machine Learning and Applications, ICMLA 2012., 6406647, Proceedings - 2012 11th International Conference on Machine Learning and Applications, ICMLA 2012, vol. 1, pp. 675-680, 11th IEEE International Conference on Machine Learning and Applications, ICMLA 2012, Boca Raton, FL, United States, 12/12/12. https://doi.org/10.1109/ICMLA.2012.126

Numerical solution of dirichlet boundary value problems for partial differential equations using quantum-behaved particle swarm optimization with random Gaussian function. / Ha, Youngmin.
Proceedings - 2012 11th International Conference on Machine Learning and Applications, ICMLA 2012. 2012. p. 675-680 6406647 (Proceedings - 2012 11th International Conference on Machine Learning and Applications, ICMLA 2012; Vol. 1).

Research output: Chapter in Book or Report/Conference proceeding › Conference Proceeding › peer-review

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AB - A new mesh-based algorithm to solve partial differential equations (PDEs) using quantum-behaved particle swarm optimization (QPSO) with random Gaussian function and random median filter is proposed in this paper. The random Gaussian function behaves as a mutation operator of QPSO to escape from local minima, and the random median filter accelerates the convergence of QPSO. It provides accurate results for Dirichlet boundary value problems of both linear and nonlinear single PDEs in two space dimensions.

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KW - evolutionary computation

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Ha Y. Numerical solution of dirichlet boundary value problems for partial differential equations using quantum-behaved particle swarm optimization with random Gaussian function. In Proceedings - 2012 11th International Conference on Machine Learning and Applications, ICMLA 2012. 2012. p. 675-680. 6406647. (Proceedings - 2012 11th International Conference on Machine Learning and Applications, ICMLA 2012). doi: 10.1109/ICMLA.2012.126

Numerical solution of dirichlet boundary value problems for partial differential equations using quantum-behaved particle swarm optimization with random Gaussian function

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Keywords

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