A Matrix Method Based on the Fibonacci Polynomials to the Generalized Pantograph Equations with Functional Arguments-Reference-Cited by-同舟云学术

A Matrix Method Based on the Fibonacci Polynomials to the Generalized Pantograph Equations with Functional Arguments

Published:2014 Issue: Volume:2014 Page:1-5
ISSN:1687-9120
Container-title:Advances in Mathematical Physics
language:en
Short-container-title:Advances in Mathematical Physics

Author:

Koç Ayşe Betül¹,Çakmak Musa²,Kurnaz Aydın¹

Affiliation:

1. Department of Mathematics, Faculty of Science, Selcuk University, 42003 Konya, Turkey

2. Yayladağı Vocational School, Mustafa Kemal University, 31550 Hatay, Turkey

Abstract

A pseudospectral method based on the Fibonacci operational matrix is proposed to solve generalized pantograph equations with linear functional arguments. By using this method, approximate solutions of the problems are easily obtained in form of the truncated Fibonacci series. Some illustrative examples are given to verify the efficiency and effectiveness of the proposed method. Then, the numerical results are compared with other methods.

Funder

Selcuk University

Publisher

Hindawi Limited

Subject

Applied Mathematics,General Physics and Astronomy

Link

http://downloads.hindawi.com/journals/amp/2014/694580.pdf

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