Title of article :
FIBONACCI COLLOCATION METHOD FOR SOLVING LINEAR DIFFERENTIAL - DIFFERENCE EQUATIONS
Author/Authors :
Kurt, Ayşe Celal Bayar University - Department of Mathematics, Turkey , Yalçınbaş, Salih Celal Bayar University - Department of Mathematics, Turkey , Sezer, Mehmet Celal Bayar University - Department of Mathematics, Turkey
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.
Keywords :
Fibonacci polynomials , Fibonacci collocation method , differentialdifference equations , collocation points.
Journal title :
mathematical and computational applications
Journal title :
mathematical and computational applications
