A numerical approximation based on the Bessel functions of first kind for solutions of Riccati type differential-difference equations

Abstract

In this study, a collocation method based on the Bessel functions of first kind is given for the approximate solutions of the Riccati differential-difference equations under the mixed condition. The method is presented with error analysis. Numerical examples are included to demonstrate the validity and applicability of the method and the comparisons are made with existing results. (c) 2012 Elsevier Ltd. All rights reserved.