Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.13091/484
Title: Pell-Lucas series approach for a class of Fredholm-type delay integro-differential equations with variable delays
Authors: Demir, Duygu Dönmez
Lukonde, Alpha Peter
Kürkçü, Ömür Kıvanç
Sezer, Mehmet
Keywords: Pell–
Lucas polynomials and series
Fredholm-type delay integro-differential equations
Matrix-collocation method
Variable delays
POLYNOMIAL SOLUTIONS
Issue Date: 2021
Publisher: SPRINGER HEIDELBERG
Abstract: In this study, a Pell-Lucas matrix-collocation method is used to solve a class of Fredholm-type delay integro-differential equations with variable delays under initial conditions. The method involves the basic matrix structures gained from the expansions of the functions at collocation points. Therefore, it performs direct and immediate computation. To test its advantage on the applications, some numerical examples are evaluated. These examples show that the method enables highly accurate solutions and approximations. Besides, the accuracy of the solutions and the validity of the method are checked via the residual error analysis and the upper bound error, respectively. Finally, the numerical results, such as errors and computation time, are compared in the tables and figures.
URI: https://doi.org/10.1007/s40096-020-00370-5
https://hdl.handle.net/20.500.13091/484
ISSN: 2008-1359
2251-7456
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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