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https://hdl.handle.net/11499/32507| Title: | A projection method for linear Fredholm-Volterra integro-differential equations | Authors: | Acar, Neşe Daşcıoğlu, Ayşegül |
Keywords: | Bernstein polynomials; polynomial approach; collocation method; linear Fredholm-Volterra integro-differential equations |
Publisher: | TAYLOR & FRANCIS LTD | Abstract: | In this study, a collocation method, one of the type of projection methods based on the generalized Bernstein polynomials, is developed for the solution of high-order linear Fredholm-Volterra integro-differential equations containing derivatives of unknown function in the integral part. The method is valid for the mixed conditions. The convergence analysis and error bounds of the method are also given. Besides, six examples are presented to demonstrate the applicability and validity of the method. C1 [Acar, Nese Isler] Mehmet Akif Ersoy Univ, Dept Math, Burdur, Turkey. [Dascioglu, Aysegul] Pamukkale Univ, Dept Math, TR-20070 Denizli, Turkey. |
URI: | https://hdl.handle.net/11499/32507 https://doi.org/10.1080/16583655.2019.1616962 |
ISSN: | 1658-3655 |
| Appears in Collections: | Fen-Edebiyat Fakültesi Koleksiyonu Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection |
Files in This Item:
| File | Size | Format | |
|---|---|---|---|
| Ayşegül Daşcıoğlu.pdf | 1.46 MB | Adobe PDF | View/Open |
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