Radial Basis Function Neural Network with Extreme Learning Machine Algorithm for Solving Ordinary Differential Equations

Abstract

We present a novel numerical method for solving ordinary differential equations (ODEs) using Radial Basis Function (RBF) Network with Extreme Learning Machine Algorithm. A single layer Radial Basis Functional Link Neural Network (RBFNN) model has been developed for the proposed method. The weight from the hidden layer to the output layer can be calculated efficiently by Extreme Learning Machine algorithm. The experimental comparison of various methods proves that the proposed method shows better performance than the existing methods.