Improvement of Gregory’s Formula Using Artificial Bee Colony Algorithm

Improvement of Gregory’s Formula Using Artificial Bee Colony Algorithm

Journal

Subject and more

  • LCC Subject Category:
  • Publisher's keywords: Numerical integration, Gregory Formula (G), Artificial Bee Colony (ABC) Algorithm
  • Language of fulltext: english
  • Full-text formats available: PDF
  • Time From Submission to Publication:

AUTHORS

    S. AICHOUCHE, N. KHELIL, L. DJEROU

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ABSTRACT

Solving numerical integration is an important question in scientific calculations and engineering. Gregory’s method is among the very first quadrature formulas ever described in the literature, dating back to James Gregory (16381675). In this article we prove that the Gregory Formula (G ) can be optimized by minimizing some of their coefficients in the remainder term by Artificial Bee Colony (ABC) Algorithm. Experimental tests prove that obtained Formula can be rendered a powerful formula for library use.

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