Bahşi A.K.Yalçinbaş S.2024-07-222024-07-2220161300686Xhttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/15784In 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.EnglishAll Open Access; Gold Open Access; Green Open AccessMatrix algebraNumerical methodsTelegraphCoefficients matrixesCollocation methodFibonacci polynomialsHyperbolic typeMatrix equationsNumerical schemeNumerical solutionTelegraph equationPolynomialsArticle10.3390/mca21020015