Abstract

AbstractSolving numerical integration by particle swarm optimization by traditional methods not only cannot satisfy parallel but also their segmentation points are uniform. In this paper, particle swarm optimization is used to calculating the numerical value of definite integrals, which sufficiently exerts the advantage of particle swarm optimization such as group search and global convergence. It satisfies the question of parallel calculating numerical integration in engineering and those segmentation points are adaptive. Several numerical simulation results show that the algorithm offers an effective way to calculate numerical value of definite integrals, and it has high convergence rate, high accuracy and robustness.KeywordsDefinite integralparticle swarm optimizationparallelsegmentation pointsadaptive

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