Matlab Code for the Discrete Hankel Transform

Matlab code for the Discrete Hankel Transform

MATLAB CODE FOR VIBRATING PARTICLES SYSTEM ALGORITHM

In this paper, MATLAB code for a recently developed meta-heuristic methodology, the vibrating particles system (VPS) algorithm, is presented. The VPS is a population-based algorithm which simulates a free vibration of single degree of freedom systems with viscous damping. The particles gradually approach to their equilibrium positions that are achieved from current population and historically b...

The Hankel transform

A Fast Analysis-Based Discrete Hankel Transform Using Asymptotic Expansions

A fast and numerically stable algorithm is described for computing the discrete Hankel transform of order 0 as well as evaluating Schlömilch and Fourier–Bessel expansions in O(N(logN)2/ loglogN) operations. The algorithm is based on an asymptotic expansion for Bessel functions of large arguments, the fast Fourier transform, and the Neumann addition formula. All the algorithmic parameters are se...

MATLAB CODE FOR AN ENHANCED VIBRATING PARTICLES SYSTEM ALGORITHM

Vibrating particles system (VPS) is a new meta-heuristic algorithm based on the free vibration of freedom system’ single degree with viscous damping. In this algorithm, each agent gradually approach to its equilibrium position; new agents are generated according to current agents and a historically best position. Enhanced vibrating particles system (EVPS) employs a new alternative procedu...