Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.13091/955
Title: A directly convergent numerical method based on orthoexponential polynomials for solving integro-differential-delay equations with variable coefficients and infinite boundary on half-line
Authors: Kürkçü, Ömür Kıvanç
Sezer, Mehmet
Keywords: Integro-differential equations
Delay arguments
Matrix-collocation method
Orthoexponential polynomials
Error bound analysis
Infinite boundary
Issue Date: 2021
Publisher: ELSEVIER
Abstract: In this study, main concern is focused on numerically solving the integro-differentialdelay equations with variable coefficients and infinite boundary on half-line, proposing a matrix-collocation method based on the orthoexponential polynomials. The method is equipped with the collocation points and the hybridized matrix relations between the orthoexponential and Taylor polynomials, which enable us to convert an integral form with infinite boundary into a mathematical formulation. The method also directly establishes the verification of the existence and uniqueness of this integral form through a convergent result. In order to observe the validity of the method versus its computation limit, an error bound analysis is performed by using the upper bound of the orthoexponential polynomials. A computer module containing main infrastructure of the method is specifically designed and run for providing highly precise results. Thus, the numerical and graphical implementations are completely monitored in table and figures, respectively. Based on the comparisons and findings, one can state that the method is remarkable, dependable, and accurate for approaching the aforementioned equations. (C) 2020 Elsevier B.V. All rights reserved.
URI: https://doi.org/10.1016/j.cam.2020.113250
https://hdl.handle.net/20.500.13091/955
ISSN: 0377-0427
1879-1778
Appears in Collections:Mühendislik ve Doğa Bilimleri Fakültesi Koleksiyonu
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collections
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collections

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