The Analysis of the Fractional-Order Navier-Stokes Equations by a Novel Approach
This article introduces modified semianalytical methods, namely, the Shehu decomposition method and q-homotopy analysis transform method, a combination of decomposition method, the q-homotopy analysis method, and the Shehu transform method to provide an approximate method analytical solution to frac...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/8979447 |
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| _version_ | 1849701074577915904 |
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| author | E. M. Elsayed Rasool Shah Kamsing Nonlaopon |
| author_facet | E. M. Elsayed Rasool Shah Kamsing Nonlaopon |
| author_sort | E. M. Elsayed |
| collection | DOAJ |
| description | This article introduces modified semianalytical methods, namely, the Shehu decomposition method and q-homotopy analysis transform method, a combination of decomposition method, the q-homotopy analysis method, and the Shehu transform method to provide an approximate method analytical solution to fractional-order Navier-Stokes equations. Navier-Stokes equations are widely applied as models for spatial effects in biology, ecology, and applied sciences. A good agreement between the exact and obtained solutions shows the accuracy and efficiency of the present techniques. These results reveal that the suggested methods are straightforward and effective for engineering sciences models. |
| format | Article |
| id | doaj-art-6d8d93e79e774aa39d5134a2b8ada5ef |
| institution | DOAJ |
| issn | 2314-8888 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-6d8d93e79e774aa39d5134a2b8ada5ef2025-08-20T03:18:03ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/8979447The Analysis of the Fractional-Order Navier-Stokes Equations by a Novel ApproachE. M. Elsayed0Rasool Shah1Kamsing Nonlaopon2Mathematics DepartmentDepartment of MathematicsDepartment of MathematicsThis article introduces modified semianalytical methods, namely, the Shehu decomposition method and q-homotopy analysis transform method, a combination of decomposition method, the q-homotopy analysis method, and the Shehu transform method to provide an approximate method analytical solution to fractional-order Navier-Stokes equations. Navier-Stokes equations are widely applied as models for spatial effects in biology, ecology, and applied sciences. A good agreement between the exact and obtained solutions shows the accuracy and efficiency of the present techniques. These results reveal that the suggested methods are straightforward and effective for engineering sciences models.http://dx.doi.org/10.1155/2022/8979447 |
| spellingShingle | E. M. Elsayed Rasool Shah Kamsing Nonlaopon The Analysis of the Fractional-Order Navier-Stokes Equations by a Novel Approach Journal of Function Spaces |
| title | The Analysis of the Fractional-Order Navier-Stokes Equations by a Novel Approach |
| title_full | The Analysis of the Fractional-Order Navier-Stokes Equations by a Novel Approach |
| title_fullStr | The Analysis of the Fractional-Order Navier-Stokes Equations by a Novel Approach |
| title_full_unstemmed | The Analysis of the Fractional-Order Navier-Stokes Equations by a Novel Approach |
| title_short | The Analysis of the Fractional-Order Navier-Stokes Equations by a Novel Approach |
| title_sort | analysis of the fractional order navier stokes equations by a novel approach |
| url | http://dx.doi.org/10.1155/2022/8979447 |
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