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Improvement of Gregory's formula using Particle Swarm Optimization

Authors: N. Khelil. L. Djerou , A. Zerarka, M. Batouche


Consider the Gregory integration (G) formula with end corrections where h Δ is the forward difference operator with step size h. In this study we prove that can be optimized by minimizing some of the coefficient k a in the remainder term by particle swarm optimization. Experimental tests prove that can be rendered a powerful formula for library use.

Keywords: Particle Swarm Optimization, Numerical Integration, Gregory Formula

Digital Object Identifier (DOI):

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