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Article

Fibonacci Collocation Method for Solving Linear Differential - Difference Equations

Department of Mathematics, Celal Bayar University, 45140, Muradiye, Manisa, Turkey
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Authors to whom correspondence should be addressed.
Math. Comput. Appl. 2013, 18(3), 448-458; https://doi.org/10.3390/mca18030448
Published: 1 December 2013

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

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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. https://doi.org/10.3390/mca18030448

AMA Style

Kurt A, Yalçınbaş S, Sezer M. Fibonacci Collocation Method for Solving Linear Differential - Difference Equations. Mathematical and Computational Applications. 2013; 18(3):448-458. https://doi.org/10.3390/mca18030448

Chicago/Turabian Style

Kurt, Ayşe, Salih Yalçınbaş, and Mehmet Sezer. 2013. "Fibonacci Collocation Method for Solving Linear Differential - Difference Equations" Mathematical and Computational Applications 18, no. 3: 448-458. https://doi.org/10.3390/mca18030448

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