Numerical Integration Combined Gaussian Quadrature with Shuffled Frog Leaping Algorithm in Manufacturing Engineering

Zhi Zhu Lai; Dong Mei Ge; Yun Yan Zhang

doi:10.4028/www.scientific.net/AMR.722.415

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HomeAdvanced Materials ResearchAdvanced Materials Research Vol. 722Numerical Integration Combined Gaussian Quadrature...

Numerical Integration Combined Gaussian Quadrature with Shuffled Frog Leaping Algorithm in Manufacturing Engineering

Abstract:

Several numerical integral error results of Gaussian Quadrature based on subdividing the integral interval arbitrarily is presented, and then an approach for solving numerical integration based on Gaussian Quadrature and Shuffled Frog Leaping Algorithm (SFLA) in Manufacturing Engineering is proposed. SFLA is used to optimize the points in the integral interval in order to get a more precise result with using Gaussian Quadrature in every small segment. Simulation examples of integral validate the algorithm that can compute both singularity functions integral.

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Periodical:

Advanced Materials Research (Volume 722)

Pages:

415-419

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.722.415

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Online since:

July 2013

Authors:

Zhi Zhu Lai, Dong Mei Ge, Yun Yan Zhang

Keywords:

Gaussian Quadrature, Manufacturing Engineering, Numerical Integration, Shuffled Frog Leaping Algorithm

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