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, cilt.64, sa.6, ss.1691-1705, 2012 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 64 Sayı: 6
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1016/j.camwa.2012.01.026
  • Dergi Adı: COMPUTERS & MATHEMATICS WITH APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1691-1705
  • Anahtar Kelimeler: 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 Üniversitesi Adresli: Hayır

Özet

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.