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Theoretical error analysis of hybrid finite difference-asymptotic interpolation method for non-newtonian fluid flow.

In this paper, we utilized a hybrid method for the unsteady flow of the non-Newtonian third-grade fluid that combines the finite difference with the asymptotic interpolation method. This hybrid method is used to satisfy the semiunbound domain condition of the fluid flow's length approaching inf...

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Main Authors: Mahadi, Shafaruniza, Yeak, Su Hoe, Arbin, Norazam, Salah, Faisal
Format: Article
Language:English
Published: Hindawi Limited 2023
Subjects:
Q Science (General)
Online Access:http://eprints.utm.my/106253/1/SuHoeYeak2023_TheoreticalErrorAnalysisofHybridFiniteDifference.pdf
http://eprints.utm.my/106253/
http://dx.doi.org/10.1155/2023/9920157
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spelling my.utm.1062532024-06-20T02:52:23Z http://eprints.utm.my/106253/ Theoretical error analysis of hybrid finite difference-asymptotic interpolation method for non-newtonian fluid flow. Mahadi, Shafaruniza Yeak, Su Hoe Arbin, Norazam Salah, Faisal Q Science (General) In this paper, we utilized a hybrid method for the unsteady flow of the non-Newtonian third-grade fluid that combines the finite difference with the asymptotic interpolation method. This hybrid method is used to satisfy the semiunbound domain condition of the fluid flow's length approaching infinity. The primary issue with this research is how much of the hybrid approach's error may be accepted to guarantee that the method is significant. This paper discussed theoretical error analysis for numerical solutions, including the range and norm of error. The perturbation method's concept is used to assess the hybrid method's error. It is discovered that the hybrid approach's relative error norm is lower than that of the finite difference method. In terms of the error standard, the hybrid approach is more consistent. Error analysis is performed to check for the accuracy as well as the platform for variable mesh size finite difference method in the future research. Hindawi Limited 2023-03-09 Article PeerReviewed application/pdf en http://eprints.utm.my/106253/1/SuHoeYeak2023_TheoreticalErrorAnalysisofHybridFiniteDifference.pdf Mahadi, Shafaruniza and Yeak, Su Hoe and Arbin, Norazam and Salah, Faisal (2023) Theoretical error analysis of hybrid finite difference-asymptotic interpolation method for non-newtonian fluid flow. Journal of Applied Mathematics, 2023 (992015). pp. 1-9. ISSN 1110-757X http://dx.doi.org/10.1155/2023/9920157 DOI: 10.1155/2023/9920157
institution Universiti Teknologi Malaysia
building UTM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Malaysia
content_source UTM Institutional Repository
url_provider http://eprints.utm.my/
language English
topic Q Science (General)
spellingShingle Q Science (General)
Mahadi, Shafaruniza
Yeak, Su Hoe
Arbin, Norazam
Salah, Faisal
Theoretical error analysis of hybrid finite difference-asymptotic interpolation method for non-newtonian fluid flow.
description In this paper, we utilized a hybrid method for the unsteady flow of the non-Newtonian third-grade fluid that combines the finite difference with the asymptotic interpolation method. This hybrid method is used to satisfy the semiunbound domain condition of the fluid flow's length approaching infinity. The primary issue with this research is how much of the hybrid approach's error may be accepted to guarantee that the method is significant. This paper discussed theoretical error analysis for numerical solutions, including the range and norm of error. The perturbation method's concept is used to assess the hybrid method's error. It is discovered that the hybrid approach's relative error norm is lower than that of the finite difference method. In terms of the error standard, the hybrid approach is more consistent. Error analysis is performed to check for the accuracy as well as the platform for variable mesh size finite difference method in the future research.
format Article
author Mahadi, Shafaruniza
Yeak, Su Hoe
Arbin, Norazam
Salah, Faisal
author_facet Mahadi, Shafaruniza
Yeak, Su Hoe
Arbin, Norazam
Salah, Faisal
author_sort Mahadi, Shafaruniza
title Theoretical error analysis of hybrid finite difference-asymptotic interpolation method for non-newtonian fluid flow.
title_short Theoretical error analysis of hybrid finite difference-asymptotic interpolation method for non-newtonian fluid flow.
title_full Theoretical error analysis of hybrid finite difference-asymptotic interpolation method for non-newtonian fluid flow.
title_fullStr Theoretical error analysis of hybrid finite difference-asymptotic interpolation method for non-newtonian fluid flow.
title_full_unstemmed Theoretical error analysis of hybrid finite difference-asymptotic interpolation method for non-newtonian fluid flow.
title_sort theoretical error analysis of hybrid finite difference-asymptotic interpolation method for non-newtonian fluid flow.
publisher Hindawi Limited
publishDate 2023
url http://eprints.utm.my/106253/1/SuHoeYeak2023_TheoreticalErrorAnalysisofHybridFiniteDifference.pdf
http://eprints.utm.my/106253/
http://dx.doi.org/10.1155/2023/9920157
_version_ 1802977248413745152
score 13.211869

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