Application of PSO Method in Schwarz Christoffel Mapping

According to the basic principle of Schwarz Christoffel transform, the mapping mathematical model from point in polygon region to point in rectangle region is established with the aid of over belt region. According to the finiteness of the banded transition region, the PSO algorithm is used to calculate the mapping from the point of the banded transition region to the point of the polygon region. The results show that the decreasing strategy of PSO algorithm is the main factor affecting the numerical results. Through the comparison of fixed strategy, linear decline strategy and non-linear decline strategy, the results show that the concave function decline strategy is a relatively good decline strategy, and the optimization parameters of the concave function decline strategy are given.