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 |
Show full item record
CORE Recommender
SCOPUSTM
Citations
73
checked on Oct 13, 2024
WEB OF SCIENCETM
Citations
65
checked on Oct 22, 2024
Page view(s)
48
checked on Aug 24, 2024
Google ScholarTM
Check
Altmetric
Items in GCRIS Repository are protected by copyright, with all rights reserved, unless otherwise indicated.