Chaotic particle swarm optimization for numeric integral

Abstract

Aiming at the shortcoming of easily falling into local optima in solving numeric integral using particle swarm optimization (PSO), this paper proposed a chaotic PSO (CPSO) algorithm to solve numerical integral. The method arbitrarily selects certain nodes in the integral interval and optimizes these nodes through CPSO algorithm, finally obtains more accurate integral results. The proposed algorithm is of high precision and low demands on integrand. Six standard numeric integral examples verify the validity and correctness of the algorithm, thus CPSO algorithm has a certain reference value and application in engineering practice.