The Analysis of the Fractional-Order Navier-Stokes Equations by a Novel Approach. (5th April 2022)

• Record Type: Journal Article
• Authors: Elsayed, E. M.; Shah, Rasool; Nonlaopon, Kamsing
• Other Names: Sousa J. Vanterler da C. Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2022(2022)
• Publication Date: 2022-04-05
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2022/8979447
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : 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.