Abstract and Applied Analysis

Fourier Operational Matrices of Differentiation and Transmission: Introduction and Applications

F. Toutounian, Emran Tohidi, and A. Kilicman

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Abstract

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.

Article information

Source
Abstr. Appl. Anal., Volume 2013 (2013), Article ID 198926, 11 pages.

Dates
First available in Project Euclid: 27 February 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1393511837

Digital Object Identifier
doi:10.1155/2013/198926

Mathematical Reviews number (MathSciNet)
MR3044985

Zentralblatt MATH identifier
1275.65036

Citation

Toutounian, F.; Tohidi, Emran; Kilicman, A. Fourier Operational Matrices of Differentiation and Transmission: Introduction and Applications. Abstr. Appl. Anal. 2013 (2013), Article ID 198926, 11 pages. doi:10.1155/2013/198926. https://projecteuclid.org/euclid.aaa/1393511837


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