Please use this identifier to cite or link to this item: 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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