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

[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.

[学科分类] 计算数学

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