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Genetic algorithms and solutions of an interesting differential equation

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Paul E. MacNeilAuthors Info & Claims

GECCO '08: Proceedings of the 10th annual conference on Genetic and evolutionary computation

Pages 1711 - 1712

https://doi.org/10.1145/1389095.1389422

Published: 12 July 2008 Publication History

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Abstract

The Schrodinger equation is a second order differential equation that describes and governs many real world systems of interest. Analytical techniques are sufficient to solve this equation for some simple systems, and numerical techniques can provide adequate approximate solutions for somewhat more complex problems. However, attempts to use numerical techniques for yet more complex systems, some of great interest, have proven to be beyond the capabilities of conventional computing resources. Computational intelligence techniques have been applied in some approaches to addressing this problem. This paper reports an approach to using genetic algorithms with "mixed" analytical wave functions, to solve the Schrodinger equation.

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Tognazzi STribastone MTschaikowski MVandin ABosman P(2017)EGACProceedings of the Genetic and Evolutionary Computation Conference10.1145/3071178.3071265(833-840)Online publication date: 1-Jul-2017
https://dl.acm.org/doi/10.1145/3071178.3071265
MacNeil P(2012)A technique for generating approximate solutions and it's application to Coulomb interactions2012 Proceedings of IEEE Southeastcon10.1109/SECon.2012.6196941(1-5)Online publication date: Mar-2012
https://doi.org/10.1109/SECon.2012.6196941

Index Terms

Genetic algorithms and solutions of an interesting differential equation
1. Applied computing
  1. Physical sciences and engineering
    1. Physics

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Published In

GECCO '08: Proceedings of the 10th annual conference on Genetic and evolutionary computation

July 2008

1814 pages

ISBN:9781605581309

DOI:10.1145/1389095

Conference Chair:
Conor Ryan
University of Limerick, Ireland
,
Editor:
Maarten Keijzer
Chordiant Software International B.V., The Netherlands

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Published: 12 July 2008

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July 12 - 16, 2008

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Tognazzi STribastone MTschaikowski MVandin ABosman P(2017)EGACProceedings of the Genetic and Evolutionary Computation Conference10.1145/3071178.3071265(833-840)Online publication date: 1-Jul-2017
https://dl.acm.org/doi/10.1145/3071178.3071265
MacNeil P(2012)A technique for generating approximate solutions and it's application to Coulomb interactions2012 Proceedings of IEEE Southeastcon10.1109/SECon.2012.6196941(1-5)Online publication date: Mar-2012
https://doi.org/10.1109/SECon.2012.6196941

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Boundary Effect in Accuracy Estimate of the Grid Method for Solving Fractional Differential Equations

Perturbation of solutions of ordinary linear homogeneous differential equations of the second order

On the solution of a class of the reduced wave equation and the Riccati differential equation

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