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Math. Comput. Appl. 2013, 18(3), 448-458; doi:10.3390/mca18030448

Fibonacci Collocation Method for Solving Linear Differential - Difference Equations

Department of Mathematics, Celal Bayar University, 45140, Muradiye, Manisa, Turkey
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Published: 1 December 2013
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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 Fibonacci polynomials; Fibonacci collocation method; differentialdifference equations; collocation points
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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MDPI and ACS Style

Kurt, A.; Yalçınbaş, S.; Sezer, M. Fibonacci Collocation Method for Solving Linear Differential - Difference Equations. Math. Comput. Appl. 2013, 18, 448-458.

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Math. Comput. Appl. EISSN 2297-8747 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
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