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

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dc.contributor.authorBahşi A.K.
dc.contributor.authorYalçinbaş S.
dc.date.accessioned2024-07-22T08:11:50Z
dc.date.available2024-07-22T08:11:50Z
dc.date.issued2016
dc.description.abstractIn 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.
dc.identifier.DOI-ID10.3390/mca21020015
dc.identifier.issn1300686X
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/15784
dc.language.isoEnglish
dc.publisherMDPI AG
dc.rightsAll Open Access; Gold Open Access; Green Open Access
dc.subjectMatrix algebra
dc.subjectNumerical methods
dc.subjectTelegraph
dc.subjectCoefficients matrixes
dc.subjectCollocation method
dc.subjectFibonacci polynomials
dc.subjectHyperbolic type
dc.subjectMatrix equations
dc.subjectNumerical scheme
dc.subjectNumerical solution
dc.subjectTelegraph equation
dc.subjectPolynomials
dc.titleA new algorithm for the numerical solution of telegraph equations by using Fibonacci polynomials
dc.typeArticle

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