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Fourier operational matrices of differentiation and transmission: introduction and applications


Toutounian, Faezeh and Tohidi, Emran and Kilicman, Adem (2013) Fourier operational matrices of differentiation and transmission: introduction and applications. Abstract and Applied Analysis, 2013. art. no. 198926. pp. 1-11. ISSN 1085-3375; ESSN: 1687-0409


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.

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Additional Metadata

Item Type: Article
Divisions: Faculty of Science
DOI Number: https://doi.org/10.1155/2013/198926
Publisher: Hindawi Publishing Corporation
Keywords: Fourier operational matrices; Differentiation; Transmission
Depositing User: Umikalthom Abdullah
Date Deposited: 02 Jul 2014 03:47
Last Modified: 20 Oct 2017 03:29
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1155/2013/198926
URI: http://psasir.upm.edu.my/id/eprint/30139
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