Please use this identifier to cite or link to this item: https://hdl.handle.net/11499/5211
Title: Chebyshev polynomial solutions of systems of high-order linear differential equations with variable coefficients
Authors: Akyüz, Ayşegül
Sezer, Mehmet
Keywords: Chebyshev polynomials and series
System of differential equations
Chebyshev approximation
Matrix algebra
Polynomials
Chebyshev collocation
Ordinary differential equations
Abstract: A Chebyshev collocation method has been presented for numerically solving systems of high-order linear ordinary differential equations with variable coefficients. Using the Chebyshev collocation points, this method transforms the ODE system and the given conditions to matrix equations with unknown Chebyshev coefficients. By means of the obtained matrix equations, a new system of equations which corresponds to the system of linear algebraic equations is gained. Hence, by finding the Chebyshev coefficients easily, the finite Chebyshev series approach is obtained. © 2002 Elsevier Inc. All rights reserved.
URI: https://hdl.handle.net/11499/5211
https://doi.org/10.1016/S0096-3003(02)00403-4
ISSN: 0096-3003
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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