A Matrix Method Based on the Fibonacci Polynomials to the Generalized Pantograph Equations with Functional Arguments. (13th August 2014)

• Record Type: Journal Article
• Authors: Koç, Ayşe Betül; Çakmak, Musa; Kurnaz, Aydın
• Other Names: Kurasov Pavel Academic Editor.
• Is Part Of: Advances in mathematical physics. Volume 2014(2014)
• Publication Date: 2014-08-13
• Subjects: Mathematical physics -- Periodicals; Mathematical physics; Periodicals; 530.15
• DOI: 10.1155/2014/694580
• Languages: English
• ISSNs: 1687-9120

Abstract

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.