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

Bahşi A. K., Yalçinbaş S.

Mathematical and Computational Applications, cilt.21, sa.2, 2016 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 21 Sayı: 2
  • Basım Tarihi: 2016
  • Doi Numarası: 10.3390/mca21020015
  • Dergi Adı: Mathematical and Computational Applications
  • Derginin Tarandığı İndeksler: Scopus
  • Anahtar Kelimeler: Collocation method, Fibonacci polynomials, Hyperbolic type partial differential equations, Telegraph equations
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

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.