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

Mathematical and Computational Applications

Kurt Bahşı, Ayşe¹ 

关键词: Fibonacci polynomials;    collocation method;    telegraph equations;    hyperbolic type partial differential equations;   

DOI  :  10.3390/mca21020015

学科分类：计算数学

来源: mdpi

【 摘 要 】

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.

【 授权许可】

CC BY