A Novel Numerical Integration Method Based on Artificial Bee Colony Algorithm

An new swarm intelligence algorithm based on the behavior of honeybee swarms has been proposed for some years, namely, Artificial Bee Colony(ABC). In this work, ABC is used for optimizing a set of split in a given integration interval by simulating the foraging activities of bees and reflecting the changing trends of the integrand. At the same time, this work also compares the performance of ABC algorithm with that of Trapezoidal, Simpson, Differential Evolution(DE), particle swarm optimization(PSO) for numerical integration. The simulation results show that the mentioned algorithm for numerical integration outperforms the other algorithm.