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

YÜZBAŞI Ş.

COMPUTERS & MATHEMATICS WITH APPLICATIONS, vol.64, no.6, pp.1691-1705, 2012 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 64 Issue: 6
  • Publication Date: 2012
  • Doi Number: 10.1016/j.camwa.2012.01.026
  • Journal Name: COMPUTERS & MATHEMATICS WITH APPLICATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1691-1705
  • Keywords: Riccati differential-difference equations, Approximate solutions, Bessel functions of first kind, Bessel collocation method, Collocation points, VARIATIONAL ITERATION METHOD, FREDHOLM INTEGRODIFFERENTIAL EQUATIONS, CHEBYSHEV POLYNOMIAL SOLUTIONS, ADOMIANS DECOMPOSITION METHOD, HOMOTOPY PERTURBATION METHOD, SYSTEMS, ASTROPHYSICS
  • Akdeniz University Affiliated: No

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.