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Title: | A Chebyshev polynomial approach for linear Fredholm-Volterra integro-differential equations in the most general form | Authors: | Akyüz Daşcıoğlu, Ayşegül. | Keywords: | Chebyshev collocation method Chebyshev series approximation Fredholm-Volterra integro-differential equations Integrodifferential equations Linear algebra Linear equations Mathematical transformations Polynomials |
Abstract: | The main purpose of this article is to present an approximation method for higher order linear Fredholm-Volterra integro-differential equations (FVIDE) in the most general form under the mixed conditions in terms of Chebyshev polynomials. This method transforms FVIDE and the conditions into the matrix equations which correspond to a system of linear algebraic equations with unknown Chebyshev coefficients. Finally, some examples are presented to illustrate the method and the results are discussed. © 2006 Elsevier Inc. All rights reserved. | URI: | https://hdl.handle.net/11499/4504 https://doi.org/10.1016/j.amc.2006.01.018 |
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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