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 met...
| Published in: | Engineering Letters |
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| Format: | Article |
| Language: | English |
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International Association of Engineers
2024
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| Online Access: | https://www.scopus.com/inward/record.uri?eid=2-s2.0-85184660309&partnerID=40&md5=44286f5a25114aa5f8e455e55d7e2516 |
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2-s2.0-85184660309 Noor N.M.; Yatim S.A.M.; Zawawi I.S.M. The Design of the New Fractional Block Method in the Solution of the Three-Compartment Pharmacokinetics Model 2024 Engineering Letters 32 2 https://www.scopus.com/inward/record.uri?eid=2-s2.0-85184660309&partnerID=40&md5=44286f5a25114aa5f8e455e55d7e2516 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 α. 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. © 2024, International Association of Engineers. All rights reserved. International Association of Engineers 1816093X English Article |
| author |
Noor N.M.; Yatim S.A.M.; Zawawi I.S.M. |
| spellingShingle |
Noor N.M.; Yatim S.A.M.; Zawawi I.S.M. The Design of the New Fractional Block Method in the Solution of the Three-Compartment Pharmacokinetics Model |
| author_facet |
Noor N.M.; Yatim S.A.M.; Zawawi I.S.M. |
| author_sort |
Noor N.M.; Yatim S.A.M.; Zawawi I.S.M. |
| 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 |
| publishDate |
2024 |
| container_title |
Engineering Letters |
| container_volume |
32 |
| container_issue |
2 |
| doi_str_mv |
|
| url |
https://www.scopus.com/inward/record.uri?eid=2-s2.0-85184660309&partnerID=40&md5=44286f5a25114aa5f8e455e55d7e2516 |
| 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 α. 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. © 2024, International Association of Engineers. All rights reserved. |
| publisher |
International Association of Engineers |
| issn |
1816093X |
| language |
English |
| format |
Article |
| accesstype |
|
| record_format |
scopus |
| collection |
Scopus |
| _version_ |
1798286501172215808 |