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

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 examp...

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Bibliographic Details
Published in:Advances in mathematical physics 2014-01, Vol.2014 (2014), p.1-5
Main Authors: Koç, Ayşe Betül, Çakmak, Musa, Kurnaz, Aydın
Format: Article
Language:English
Subjects:
Methods
Ordinary differential equations
Polynomials
Studies
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Summary: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.
ISSN:1687-9120
1687-9139
DOI:10.1155/2014/694580