The New Semianalytical Technique for the Solution of Fractional-Order Navier-Stokes Equation
In this paper, we introduce a modified method which is constructed by mixing the residual power series method and the Elzaki transformation. Precisely, we provide the details of implementing the suggested technique to investigate the fractional-order nonlinear models. Second, we test the efficiency...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/5588601 |
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| _version_ | 1832566001321902080 |
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| author | Nehad Ali Shah Mounirah Areshi Jae Dong Chung Kamsing Nonlaopon |
| author_facet | Nehad Ali Shah Mounirah Areshi Jae Dong Chung Kamsing Nonlaopon |
| author_sort | Nehad Ali Shah |
| collection | DOAJ |
| description | In this paper, we introduce a modified method which is constructed by mixing the residual power series method and the Elzaki transformation. Precisely, we provide the details of implementing the suggested technique to investigate the fractional-order nonlinear models. Second, we test the efficiency and the validity of the technique on the fractional-order Navier-Stokes models. Then, we apply this new method to analyze the fractional-order nonlinear system of Navier-Stokes models. Finally, we provide 3-D graphical plots to support the impact of the fractional derivative acting on the behavior of the obtained profile solutions to the suggested models. |
| format | Article |
| id | doaj-art-73e83b8271bb4336893b5dc7ce5a31f4 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-73e83b8271bb4336893b5dc7ce5a31f42025-02-03T01:05:27ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/55886015588601The New Semianalytical Technique for the Solution of Fractional-Order Navier-Stokes EquationNehad Ali Shah0Mounirah Areshi1Jae Dong Chung2Kamsing Nonlaopon3Department of Mechanical Engineering, Sejong University, Seoul 05006, Republic of KoreaMathematics Department, College of Science, University of Tabuk, Tabuk, Saudi ArabiaDepartment of Mechanical Engineering, Sejong University, Seoul 05006, Republic of KoreaDepartment of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, ThailandIn this paper, we introduce a modified method which is constructed by mixing the residual power series method and the Elzaki transformation. Precisely, we provide the details of implementing the suggested technique to investigate the fractional-order nonlinear models. Second, we test the efficiency and the validity of the technique on the fractional-order Navier-Stokes models. Then, we apply this new method to analyze the fractional-order nonlinear system of Navier-Stokes models. Finally, we provide 3-D graphical plots to support the impact of the fractional derivative acting on the behavior of the obtained profile solutions to the suggested models.http://dx.doi.org/10.1155/2021/5588601 |
| spellingShingle | Nehad Ali Shah Mounirah Areshi Jae Dong Chung Kamsing Nonlaopon The New Semianalytical Technique for the Solution of Fractional-Order Navier-Stokes Equation Journal of Function Spaces |
| title | The New Semianalytical Technique for the Solution of Fractional-Order Navier-Stokes Equation |
| title_full | The New Semianalytical Technique for the Solution of Fractional-Order Navier-Stokes Equation |
| title_fullStr | The New Semianalytical Technique for the Solution of Fractional-Order Navier-Stokes Equation |
| title_full_unstemmed | The New Semianalytical Technique for the Solution of Fractional-Order Navier-Stokes Equation |
| title_short | The New Semianalytical Technique for the Solution of Fractional-Order Navier-Stokes Equation |
| title_sort | new semianalytical technique for the solution of fractional order navier stokes equation |
| url | http://dx.doi.org/10.1155/2021/5588601 |
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