Please use this identifier to cite or link to this item: https://hdl.handle.net/11499/6805
Title: Chebyshev polynomial approximation for high-order partial differential equations with complicated conditions
Authors: Akyüz-Daşcıoğlu, Ayşegül
Keywords: Chebyshev collocation method
Double Chebyshev series
Partial differential equation
Abstract: In this article, a new method is presented for the solution of high-order linear partial differential equations (PDEs) with variable coefficients under the most general conditions. The method is based on the approximation by the truncated double Chebyshev series. PDE and conditions are transformed into the matrix equations, which corresponds to a system of linear algebraic equations with the unknown Chebyshev coefficients, via Chebyshev collocation points. Combining these matrix equations and then solving the system, yields the Chebyshev coefficients of the solution function. Some numerical results are included to demonstrate the validity and applicability of the method. © 2008 Wiley Periodicals, Inc.
URI: https://hdl.handle.net/11499/6805
https://doi.org/10.1002/num.20362
ISSN: 0749-159X
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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