Please use this identifier to cite or link to this item: https://hdl.handle.net/11499/4808
Title: Chebyshev polynomial solutions of systems of higher-order linear Fredholm-Volterra integro-differential equations
Authors: Akyüz-Daşcıoglu, Ayşegül
Sezer, M.
Keywords: Chebyshev polynomials and series
Fredholm and Volterra systems
System of integro-differential equations
Differential equations
Functions
Integral equations
Linear algebra
Linear equations
Mathematical transformations
Matrix algebra
Polynomials
Freeholm and Volterra systems
Chebyshev approximation
Abstract: A Chebyshev collocation method, an expansion method, has been proposed in order to solve the systems of higher-order linear integro-differential equations. This method transforms the IDE system and the given conditions into the matrix equations via Chebyshev collocation points. By merging these results, a new system which corresponds to a system of linear algebraic equations is obtained. The solution of this system yields the Chebyshev coefficients of the solution function. Some numerical results are also given to illustrate the efficiency of the method. Moreover, this method is valid for the systems of differential and integral equations. © 2004 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
URI: https://hdl.handle.net/11499/4808
https://doi.org/10.1016/j.jfranklin.2005.04.001
ISSN: 0016-0032
Appears in Collections:Fen-Edebiyat Fakültesi Koleksiyonu
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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