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Numerical solution for neutral delay differential equaions of constant or proportional type using hybrid block method

Neutral Delay Differential Equation (NDDE) is a differential problem that has regularly existed in numerous occurrences and has represented a significant role in dealing with real-life phenomena, especially on their application in biological and physiological processes. A fifth-order two-point hybri...

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Main Authors: Ismail, Nur Inshirah Naqiah, Abdul Majid, Zanariah, Senu, Norazak
Format: Article
Published: Global Science Press 2022
Online Access:http://psasir.upm.edu.my/id/eprint/102343/
https://global-sci.org/intro/article_detail/aamm/20555.html
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spelling my.upm.eprints.1023432023-06-07T08:45:10Z http://psasir.upm.edu.my/id/eprint/102343/ Numerical solution for neutral delay differential equaions of constant or proportional type using hybrid block method Ismail, Nur Inshirah Naqiah Abdul Majid, Zanariah Senu, Norazak Neutral Delay Differential Equation (NDDE) is a differential problem that has regularly existed in numerous occurrences and has represented a significant role in dealing with real-life phenomena, especially on their application in biological and physiological processes. A fifth-order two-point hybrid implicit multistep block method (2PIH5) has been formulated in this research for the numerical solution of Neutral Delay Differential Equation (NDDE). A Taylor series interpolation polynomial has been implemented in the formulation of the proposed 2PIH5. The order, consistency, and zero-stability for 2PIH5 have been illustrated. The analyses of convergence and stability test have been performed and discussed. The initial value problems for the first-order NDDE with constant or proportional delay have been solved using the proposed block method. Some numerical results for the proposed method have been presented to prove the adaptability and applicability of the proposed method in solving NDDE. The proposed method is proved to be comparable with the other existing methods. It is assumed to be reliable and efficient for solving the first-order NDDE with constant or proportional delay. Global Science Press 2022-06 Article PeerReviewed Ismail, Nur Inshirah Naqiah and Abdul Majid, Zanariah and Senu, Norazak (2022) Numerical solution for neutral delay differential equaions of constant or proportional type using hybrid block method. Advances in Applied Mathematics and Mechanics, 14 (5). 1138 - 1160. ISSN 2070-0733; ESSN: 2075-1354 https://global-sci.org/intro/article_detail/aamm/20555.html 10.4208/aamm.OA-2020-0054
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
description Neutral Delay Differential Equation (NDDE) is a differential problem that has regularly existed in numerous occurrences and has represented a significant role in dealing with real-life phenomena, especially on their application in biological and physiological processes. A fifth-order two-point hybrid implicit multistep block method (2PIH5) has been formulated in this research for the numerical solution of Neutral Delay Differential Equation (NDDE). A Taylor series interpolation polynomial has been implemented in the formulation of the proposed 2PIH5. The order, consistency, and zero-stability for 2PIH5 have been illustrated. The analyses of convergence and stability test have been performed and discussed. The initial value problems for the first-order NDDE with constant or proportional delay have been solved using the proposed block method. Some numerical results for the proposed method have been presented to prove the adaptability and applicability of the proposed method in solving NDDE. The proposed method is proved to be comparable with the other existing methods. It is assumed to be reliable and efficient for solving the first-order NDDE with constant or proportional delay.
format Article
author Ismail, Nur Inshirah Naqiah
Abdul Majid, Zanariah
Senu, Norazak
spellingShingle Ismail, Nur Inshirah Naqiah
Abdul Majid, Zanariah
Senu, Norazak
Numerical solution for neutral delay differential equaions of constant or proportional type using hybrid block method
author_facet Ismail, Nur Inshirah Naqiah
Abdul Majid, Zanariah
Senu, Norazak
author_sort Ismail, Nur Inshirah Naqiah
title Numerical solution for neutral delay differential equaions of constant or proportional type using hybrid block method
title_short Numerical solution for neutral delay differential equaions of constant or proportional type using hybrid block method
title_full Numerical solution for neutral delay differential equaions of constant or proportional type using hybrid block method
title_fullStr Numerical solution for neutral delay differential equaions of constant or proportional type using hybrid block method
title_full_unstemmed Numerical solution for neutral delay differential equaions of constant or proportional type using hybrid block method
title_sort numerical solution for neutral delay differential equaions of constant or proportional type using hybrid block method
publisher Global Science Press
publishDate 2022
url http://psasir.upm.edu.my/id/eprint/102343/
https://global-sci.org/intro/article_detail/aamm/20555.html
_version_ 1769844443309932544
score 13.223943

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