The Design of the New Fractional Block Method in the Solution of the Three-Compartment Pharmacokinetics Model
In this paper, the derivation of the 2 -point Fractional Block Backward Differentiation Formula is studied and used to solve the fractional Pharmacokinetics model. The method is developed using the fractional linear multistep method connected to the linear difference operator. The analysis of the me...
Published in: | ENGINEERING LETTERS |
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Main Authors: | , , , |
Format: | Article |
Language: | English |
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NEWSWOOD LTD
2024
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Online Access: | https://www-webofscience-com.uitm.idm.oclc.org/wos/woscc/full-record/WOS:001163837300004 |
author |
Noor Nursyazwani Mohamad; Yatim Siti Ainor Mohd; Zawawi Iskandar Shah Mohd |
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spellingShingle |
Noor Nursyazwani Mohamad; Yatim Siti Ainor Mohd; Zawawi Iskandar Shah Mohd The Design of the New Fractional Block Method in the Solution of the Three-Compartment Pharmacokinetics Model Engineering |
author_facet |
Noor Nursyazwani Mohamad; Yatim Siti Ainor Mohd; Zawawi Iskandar Shah Mohd |
author_sort |
Noor |
spelling |
Noor, Nursyazwani Mohamad; Yatim, Siti Ainor Mohd; Zawawi, Iskandar Shah Mohd The Design of the New Fractional Block Method in the Solution of the Three-Compartment Pharmacokinetics Model ENGINEERING LETTERS English Article In this paper, the derivation of the 2 -point Fractional Block Backward Differentiation Formula is studied and used to solve the fractional Pharmacokinetics model. The method is developed using the fractional linear multistep method connected to the linear difference operator. The analysis of the method's stability properties confirms that the stability regions appear to be A -stable for various values of fractional order alpha. Numerical results obtained using the proposed method are investigated. Additionally, the impact of fractional order on the quantity of the drug within the human body is examined. NEWSWOOD LTD 1816-093X 1816-0948 2024 32 2 Engineering WOS:001163837300004 https://www-webofscience-com.uitm.idm.oclc.org/wos/woscc/full-record/WOS:001163837300004 |
title |
The Design of the New Fractional Block Method in the Solution of the Three-Compartment Pharmacokinetics Model |
title_short |
The Design of the New Fractional Block Method in the Solution of the Three-Compartment Pharmacokinetics Model |
title_full |
The Design of the New Fractional Block Method in the Solution of the Three-Compartment Pharmacokinetics Model |
title_fullStr |
The Design of the New Fractional Block Method in the Solution of the Three-Compartment Pharmacokinetics Model |
title_full_unstemmed |
The Design of the New Fractional Block Method in the Solution of the Three-Compartment Pharmacokinetics Model |
title_sort |
The Design of the New Fractional Block Method in the Solution of the Three-Compartment Pharmacokinetics Model |
container_title |
ENGINEERING LETTERS |
language |
English |
format |
Article |
description |
In this paper, the derivation of the 2 -point Fractional Block Backward Differentiation Formula is studied and used to solve the fractional Pharmacokinetics model. The method is developed using the fractional linear multistep method connected to the linear difference operator. The analysis of the method's stability properties confirms that the stability regions appear to be A -stable for various values of fractional order alpha. Numerical results obtained using the proposed method are investigated. Additionally, the impact of fractional order on the quantity of the drug within the human body is examined. |
publisher |
NEWSWOOD LTD |
issn |
1816-093X 1816-0948 |
publishDate |
2024 |
container_volume |
32 |
container_issue |
2 |
doi_str_mv |
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topic |
Engineering |
topic_facet |
Engineering |
accesstype |
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id |
WOS:001163837300004 |
url |
https://www-webofscience-com.uitm.idm.oclc.org/wos/woscc/full-record/WOS:001163837300004 |
record_format |
wos |
collection |
Web of Science (WoS) |
_version_ |
1809678795493343232 |