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 |
Show full item record
CORE Recommender
SCOPUSTM
Citations
21
checked on Oct 13, 2024
WEB OF SCIENCETM
Citations
18
checked on Oct 22, 2024
Page view(s)
32
checked on Aug 24, 2024
Google ScholarTM
Check
Altmetric
Items in GCRIS Repository are protected by copyright, with all rights reserved, unless otherwise indicated.