Fibonacci collocation method for solving linear differential-difference equations

Kurt A., Yalçinbaş S., Sezer M.

Mathematical and Computational Applications, vol.18, no.3, pp.448-458, 2013 (Scopus, TRDizin) identifier

  • Publication Type: Article / Article
  • Volume: 18 Issue: 3
  • Publication Date: 2013
  • Doi Number: 10.3390/mca18030448
  • Journal Name: Mathematical and Computational Applications
  • Journal Indexes: Scopus, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.448-458
  • Keywords: Collocation points, Differential-difference equations, Fibonacci collocation method, Fibonacci polynomials
  • Manisa Celal Bayar University Affiliated: Yes

Abstract

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.