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https://hdl.handle.net/11499/4321| Title: | A Taylor method for numerical solution of generalized pantograph equations with linear functional argument | Authors: | Sezer, M. Akyüz-Daşcıoglu, Ayşegül |
Keywords: | Functional equations Pantograph equations Taylor method Approximation theory Boundary value problems Differentiation (calculus) Numerical analysis Taylor methods Differential equations |
Abstract: | This paper is concerned with a generalization of a functional differential equation known as the pantograph equation which contains a linear functional argument. In this paper, we introduce a numerical method based on the Taylor polynomials for the approximate solution of the pantograph equation with retarded case or advanced case. The method is illustrated by studying the initial value problems. The results obtained are compared by the known results. © 2006 Elsevier B.V. All rights reserved. | URI: | https://hdl.handle.net/11499/4321 https://doi.org/10.1016/j.cam.2005.12.015 |
ISSN: | 0377-0427 |
| 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 | |
|---|---|---|---|
| taylor.pdf | 189.13 kB | Adobe PDF | View/Open |
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