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Title: An exclusive spectral computational approach based on quadratic orthoexponential polynomials for solving integro-differential equations with delays on the real line
Authors: Kürkçü, Ömür Kıvanç
Keywords: Error improvement
Functional delay
Orthoexponential polynomials
Real line
Singular integral
Computational methods
Integrodifferential equations
Computational approach
Constant delays
Differential equations with delays
Error improvement
Functional delays
Integral part
Orthoexponential polynomial
Real line
Singular integral
Issue Date: 2023
Publisher: Elsevier B.V.
Abstract: This study aims to bring together the ultimate formation of the integro-differential equations involving the functional delay and the singular integral with constant delay on the real line, presenting an exclusive spectral computational approach made up of quadratic orthoexponential polynomials. Frankly, the method makes possible to evaluate the singular and delayed integral part by way of the matrix expansion of quadratic property of orthoexponential polynomials, as well as transforming the unknown terms into the matrix relations. Hence, the stability of the integral part is materialized. An error improvement technique is also performed via a residual function. Several integral and integro-differential equations are considered by a devised programme, which immediately returns the method of solution. The outcomes are, thus, exposed to be compared sensitively in tables and figures. Having investigated the comparisons, one can admit that the method accomplishes exclusive and efficient approximation to the equations in question. © 2022 IMACS
ISSN: 0168-9274
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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