Abstract:

This paper presents a hybrid method based on radial basis function neural networks (RBFNN) and particle swarm optimization (PSO) algori
thm for solving the linear integral equations of the second kind of Volterra. Firstly, the integral interval is discretized into a point set. And the discretized points in the set are substituted into the equation to obtain equations. RBFNN is applied to approximating the unknown function of equations, and the solved problem can be turned into optimum problem which is solved by PSO algorithm for the advantage of PSO. Therefore, the parameters of neural networks, namely, the approximate solution, are found. Finally, numerical experiments are performed and the results show that our method is feasible.

Key words: radial based function netural networks(RBFNN), particle swarm optimization(PSO), integral equation