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

Bahşi A. K., Yalçinbaş S.

Mathematical and Computational Applications, vol.21, no.2, 2016 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 21 Issue: 2
  • Publication Date: 2016
  • Doi Number: 10.3390/mca21020015
  • Journal Name: Mathematical and Computational Applications
  • Journal Indexes: Scopus
  • Keywords: Collocation method, Fibonacci polynomials, Hyperbolic type partial differential equations, Telegraph equations
  • Manisa Celal Bayar University Affiliated: Yes

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.