Please use this identifier to cite or link to this item: https://hdl.handle.net/11499/4284
Title: A Taylor polynomial approach for solving high-order linear Fredholm integro-differential equations in the most general form
Authors: Akyüz-Daşçıoglu, Ayşegül.
Sezer, M.
Keywords: Fredholm integro-differential equations
Taylor approximation
Integrodifferential equations
Linear equations
Mathematical transformations
Numerical methods
Polynomial approximation
Problem solving
Fredholm integrodifferential equations
Taylor methods
Taylor series
Abstract: A Taylor method is developed for finding the approximate solution of high-order linear Fredholm integro-differential equations in the most general form under the mixed conditions. The problem is defined on the interval [-1,1] and the solution is obtained in terms of Taylor polynomials about the origin. Transforming the interval [a, b] to the interval [-1, 1], a problem defined on [a, b] can also be solved using this method. Numerical examples are presented to illustrate the accuracy of the method.
URI: https://hdl.handle.net/11499/4284
https://doi.org/10.1080/00207160701227848
ISSN: 0020-7160
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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