Fibonacci collocation method for solving linear differential-difference equations

Kurt A., Yalçinbaş S., Sezer M.

Mathematical and Computational Applications, cilt.18, sa.3, ss.448-458, 2013 (Scopus, TRDizin) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 18 Sayı: 3
  • Basım Tarihi: 2013
  • Doi Numarası: 10.3390/mca18030448
  • Dergi Adı: Mathematical and Computational Applications
  • Derginin Tarandığı İndeksler: Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.448-458
  • Anahtar Kelimeler: Collocation points, Differential-difference equations, Fibonacci collocation method, Fibonacci polynomials
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

This study presents a new method for the solution of mth-order linear differential-difference equations with variable coefficients under the mixed conditions. We introduce a Fibonacci collocation method based on the Fibonacci polynomials for the approximate solution. Numerical examples are included to demonstrate the applicability of the technique. The obtained results are compared by the known results.