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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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