A new algorithm for the numerical solution of telegraph equations by using Fibonacci polynomials

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Date

2016

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Publisher

MDPI AG

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.

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Keywords

Matrix algebra , Numerical methods , Telegraph , Coefficients matrixes , Collocation method , Fibonacci polynomials , Hyperbolic type , Matrix equations , Numerical scheme , Numerical solution , Telegraph equation , Polynomials

Citation

URI

http://akademikarsiv.cbu.edu.tr:4000/handle/123456789/15784

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