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Math. Comput. Appl. 2016, 21(2), 15; doi:10.3390/mca21020015

A New Algorithm for the Numerical Solution of Telegraph Equations by Using Fibonacci Polynomials

Department of Mathematics, Celal Bayar University, 45047 Muradiye, Manisa 45047, Turkey
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Academic Editor: Mehmet Pakdemirli
Received: 5 October 2015 / Revised: 4 May 2016 / Accepted: 5 May 2016 / Published: 10 May 2016
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Abstract

In this study, we present a numerical scheme to solve the telegraph equation by using Fibonacci polynomials. This method is based on the Fibonacci collocation method which transforms the equation into a matrix equation, and the unknown of this equation is a Fibonacci coefficients matrix. Some numerical examples with comparisons are included to demonstrate the validity and applicability of the proposed method. The results show the efficiency and accuracy of this paper. View Full-Text
Keywords: Fibonacci polynomials; collocation method; telegraph equations; hyperbolic type partial differential equations Fibonacci polynomials; collocation method; telegraph equations; hyperbolic type partial differential equations

This paper was processed and accepted under the editorial system of the ASR before its transfer to MDPI.

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MDPI and ACS Style

Kurt Bahşı, A.; Yalçınbaş, S. A New Algorithm for the Numerical Solution of Telegraph Equations by Using Fibonacci Polynomials. Math. Comput. Appl. 2016, 21, 15.

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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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