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https://hdl.handle.net/11499/7891
Title: | Bernstein collocation method for solving linear differential equations | Authors: | Akyüz-Daşcıoglu, Ayşegül Isler Acar, N. |
Keywords: | Bernstein polynomial approximation Collocation method Linear differential equations Approximate solution Bernstein polynomial Linear differential equation Numerical solution Variable coefficients Polynomial approximation Differential equations |
Abstract: | In this study, a new collocation method based on Bernstein polynomials defined on the interval [a, b] is introduced for approximate solutions of initial and boundary value problems involving higher order linear differential equations with variable coefficients. Error analysis of the method is demonstrated. Some numerical solutions are given to illustrate the accuracy, efficiency and implementation of the method, and the results of the proposed method are also compared with the other methods in several examples. | URI: | https://hdl.handle.net/11499/7891 | ISSN: | 1303-9709 |
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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