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Fourier Operational Matrices of Differentiation and Transmission : Introduction and Applications
Joint Authors
Toutounian, Faezeh
Tohidi, Emran
Kiliçman, Adem
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-04-10
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
This paper introduces Fourier operational matrices of differentiation and transmission for solving high-order linear differential and difference equations with constant coefficients.
Moreover, we extend our methods for generalized Pantograph equations with variable coefficients by using Legendre Gauss collocation nodes.
In the case of numerical solution of Pantograph equation, an error problem is constructed by means of the residual function and this error problem is solved by using the mentioned collocation scheme.
When the exact solution of the problem is not known, the absolute errors can be computed approximately by the numerical solution of the error problem.
The reliability and efficiency of the presented approaches are demonstrated by several numerical examples, and also the results are compared with different methods.
American Psychological Association (APA)
Toutounian, Faezeh& Tohidi, Emran& Kiliçman, Adem. 2013. Fourier Operational Matrices of Differentiation and Transmission : Introduction and Applications. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-453938
Modern Language Association (MLA)
Toutounian, Faezeh…[et al.]. Fourier Operational Matrices of Differentiation and Transmission : Introduction and Applications. Abstract and Applied Analysis No. 2013 (2013), pp.1-11.
https://search.emarefa.net/detail/BIM-453938
American Medical Association (AMA)
Toutounian, Faezeh& Tohidi, Emran& Kiliçman, Adem. Fourier Operational Matrices of Differentiation and Transmission : Introduction and Applications. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-453938
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-453938