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...

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Published in:ENGINEERING LETTERS
Main Authors: Noor, Nursyazwani Mohamad; Yatim, Siti Ainor Mohd; Zawawi, Iskandar Shah Mohd
Format: Article
Language:English
Published: NEWSWOOD LTD 2024
Subjects:
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
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
topic Engineering
topic_facet Engineering
accesstype
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)
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