Abstract and Applied Analysis, ( ISI ), Volume (2013), No (127), Year (2013-4) , Pages (1-11)

Title : ( Fourier Operational Matrices of Differentiation and Transmission: Introduction and Applications )

Authors: Faezeh Toutounian Mashhad , EMRAN TOHIDI , A. Kilicman ,

Citation: BibTeX | EndNote

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 problems 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.

Keywords

, high-order linear differential and difference equations, generalized Pantograph equations, Fourier operational matrices of differentiation and
برای دانلود از شناسه و رمز عبور پرتال پویا استفاده کنید.

@article{paperid:1034483,
author = {Toutounian Mashhad, Faezeh and TOHIDI, EMRAN and A. Kilicman},
title = {Fourier Operational Matrices of Differentiation and Transmission: Introduction and Applications},
journal = {Abstract and Applied Analysis},
year = {2013},
volume = {2013},
number = {127},
month = {April},
issn = {1085-3375},
pages = {1--11},
numpages = {10},
keywords = {high-order linear differential and difference equations; generalized Pantograph equations; Fourier operational matrices of differentiation and transmission},
}

[Download]

%0 Journal Article
%T Fourier Operational Matrices of Differentiation and Transmission: Introduction and Applications
%A Toutounian Mashhad, Faezeh
%A TOHIDI, EMRAN
%A A. Kilicman
%J Abstract and Applied Analysis
%@ 1085-3375
%D 2013

[Download]