The New Semianalytical Technique for the Solution of Fractional-Order Navier-Stokes Equation. (20th April 2021)

• Record Type: Journal Article
• Authors: Shah, Nehad Ali; Areshi, Mounirah; Chung, Jae Dong; Nonlaopon, Kamsing
• Other Names: Zhang Qifeng Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2021(2021)
• Publication Date: 2021-04-20
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2021/5588601
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : 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.