A Numerical Integration Method Based on Fireworks Algorithm

Abstract

Numerical integration is widely used in science and engineering. In this paper, a novel method for solving numerical integration based on Fireworks Algorithm (FWA) is put forward. In the presented method, FWA is used to optimize the nodes in an integral interval. Then, Simpson method is employed to get a more precise integral value in every small segment of the integral interval. Some simulation examples of integrals confirm that the presented method is an effective one to calculate numerical integration and has higher calculation accuracy.