An analytical approach of multi-dimensional Navier-Stokes equation in the framework of natural transform
This article introduces a new iterative transform method and homotopy perturbation transform method along with a natural transform to analyze the multi-dimensional Navier-Stokes equations. To solve the fractional-derivative, the Caputo-Fabrizio definition of the fractional derivative was employed. F...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2024-02-01
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| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2024426?viewType=HTML |
| _version_ | 1797261924984946688 |
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| author | Manoj Singh Ahmed Hussein , Msmali Mohammad Tamsir Abdullah Ali H. Ahmadini |
| author_facet | Manoj Singh Ahmed Hussein , Msmali Mohammad Tamsir Abdullah Ali H. Ahmadini |
| author_sort | Manoj Singh |
| collection | DOAJ |
| description | This article introduces a new iterative transform method and homotopy perturbation transform method along with a natural transform to analyze the multi-dimensional Navier-Stokes equations. To solve the fractional-derivative, the Caputo-Fabrizio definition of the fractional derivative was employed. Four examples were considered to examine the efficacy and accuracy of the proposed methods. The efficiency and accuracy were also demonstrated by the solution comparison via graphs. The proposed methods' convergence and uniqueness are also discussed. The methods mentioned above are straightforward and support a high rate of convergence. |
| first_indexed | 2024-04-24T23:48:57Z |
| format | Article |
| id | doaj.art-a9b8d588606a4cb493b51d662559d331 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-04-24T23:48:57Z |
| publishDate | 2024-02-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-a9b8d588606a4cb493b51d662559d3312024-03-15T01:13:25ZengAIMS PressAIMS Mathematics2473-69882024-02-01948776880210.3934/math.2024426An analytical approach of multi-dimensional Navier-Stokes equation in the framework of natural transformManoj Singh0Ahmed Hussein , Msmali1Mohammad Tamsir 2Abdullah Ali H. Ahmadini31. Department of Mathematics, College of Science, Jazan University, P.O. Box 114, Jazan 45142, Kingdom of Saudi Arabia1. Department of Mathematics, College of Science, Jazan University, P.O. Box 114, Jazan 45142, Kingdom of Saudi Arabia 2. School of Mathematics and Applied Statistics, University of Wollongong, Wollongong NSW 2522, Australia1. Department of Mathematics, College of Science, Jazan University, P.O. Box 114, Jazan 45142, Kingdom of Saudi Arabia1. Department of Mathematics, College of Science, Jazan University, P.O. Box 114, Jazan 45142, Kingdom of Saudi ArabiaThis article introduces a new iterative transform method and homotopy perturbation transform method along with a natural transform to analyze the multi-dimensional Navier-Stokes equations. To solve the fractional-derivative, the Caputo-Fabrizio definition of the fractional derivative was employed. Four examples were considered to examine the efficacy and accuracy of the proposed methods. The efficiency and accuracy were also demonstrated by the solution comparison via graphs. The proposed methods' convergence and uniqueness are also discussed. The methods mentioned above are straightforward and support a high rate of convergence.https://www.aimspress.com/article/doi/10.3934/math.2024426?viewType=HTMLnavier-stokes equationnew iterative transform methodhomotopy perturbation transform methodnatural transformcaputo-fabrizio fractional derivative |
| spellingShingle | Manoj Singh Ahmed Hussein , Msmali Mohammad Tamsir Abdullah Ali H. Ahmadini An analytical approach of multi-dimensional Navier-Stokes equation in the framework of natural transform AIMS Mathematics navier-stokes equation new iterative transform method homotopy perturbation transform method natural transform caputo-fabrizio fractional derivative |
| title | An analytical approach of multi-dimensional Navier-Stokes equation in the framework of natural transform |
| title_full | An analytical approach of multi-dimensional Navier-Stokes equation in the framework of natural transform |
| title_fullStr | An analytical approach of multi-dimensional Navier-Stokes equation in the framework of natural transform |
| title_full_unstemmed | An analytical approach of multi-dimensional Navier-Stokes equation in the framework of natural transform |
| title_short | An analytical approach of multi-dimensional Navier-Stokes equation in the framework of natural transform |
| title_sort | analytical approach of multi dimensional navier stokes equation in the framework of natural transform |
| topic | navier-stokes equation new iterative transform method homotopy perturbation transform method natural transform caputo-fabrizio fractional derivative |
| url | https://www.aimspress.com/article/doi/10.3934/math.2024426?viewType=HTML |
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