Please use this identifier to cite or link to this item:
https://hdl.handle.net/20.500.13091/3225
Title: | A neural computational method for solving renewal delay integro-differential equations constrained by the half-line | Authors: | Kürkçü, Ömür Kıvanç | Keywords: | Delay forces Error bound Infinite boundary Neural computation Renewal equation Integral-Equations |
Publisher: | Springer Heidelberg | Abstract: | This study aims to solve the renewal delay integro-differential equations constrained by the half-line, introducing a computational method composed of the matrix relations of the Stieltjes-Wigert polynomials at the collocation points. In order to mathematically interpret their robust integral part, the method is also fed neurally by the Stieltjes-Wigert polynomials and a hybrid polynomial dependent upon the alteration of the Taylor and exponential polynomial bases. Thus, the method easily gathers the matrix relations into a matrix equation and immediately produces a desired solution. An error bound analysis is established to discuss the accuracy of the method by employing the collaboration of the mentioned polynomials. A population model with time-lags (delays), the detection of the displaced atoms versus kinetic energy, an integral delay equation, and a delayed problem with functional kernel are firstly treated by the method. Consequently, it is evident that the method presents a novel consistent approach and is directly programmable on a mathematical software thanks to its neural structure. | Description: | Article; Early Access | URI: | https://doi.org/10.1007/s40096-022-00492-y https://doi.org/10.1007/s40096-022-00492-y https://hdl.handle.net/20.500.13091/3225 |
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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s40096-022-00492-y.pdf Until 2030-01-01 | 1.9 MB | Adobe PDF | View/Open Request a copy |
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