Composite simpson method based on differential evolution algorithm for numerical integral

Abstract

For solving numerical integral problems, a composite Simpson method based on Differential Evolution algorithm (S-DE) is proposed. The proposed method can be viewed as a piecewise integration method. It firstly uses the differential evolution algorithm (DE) to find the optimal segmentation points on the integral interval of an integrand. The approximate integral value of the integrand is then calculated by a composite Simpson method. The comparative analyses of numerical experiment results show the advantages of S-DE on a class of integral problems.