A New Algorithm for the Numerical Solution of Telegraph Equations by Using Fibonacci Polynomials

نویسندگان

  • Ayşe Kurt Bahşı
  • Celal Bayar
چکیده

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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تاریخ انتشار 2016