Differential Evolution Algorithm for Solving a Nonlinear Single Pendulum Problem

Natee Panagant; Sujin Bureerat

doi:10.4028/www.scientific.net/AMR.931-932.1129

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 931-932Differential Evolution Algorithm for Solving a...

Differential Evolution Algorithm for Solving a Nonlinear Single Pendulum Problem

Abstract:

A differential evolution (DE) algorithm has been employed to approximate the solution of a nonlinear single pendulum equation. The solution has been approximated as a Fourier series expansion form. Then, weighted-residual and penalty functions are employed to transform the problem into a constrained optimization problem while optimum solutions will be carried out by DE. This paper also studies an effect of a scaling factor of DE to the results. The results reveal that the scaling factor significantly affects the convergent speed and accuracy of DE. Approximate solutions well agree with the exact solutions for the scaling factor being 0.5.

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Periodical:

Advanced Materials Research (Volumes 931-932)

Pages:

1129-1133

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.931-932.1129

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Online since:

May 2014

Authors:

Natee Panagant, Sujin Bureerat*

Keywords:

Differential Evolution, Fourier Series, Meta-Heuristic, Nonlinear Single Pendulum, Solution Approximation, Weighted-Residual Function

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* - Corresponding Author

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