MODIFICATION OF OPTIMAL HOMOTOPY ASYMPTOTIC METHOD FOR MULTI-DIMENSIONAL TIME-FRACTIONAL MODEL OF NAVIER–STOKES EQUATION

Himayat Ullah Jan, Hakeem Ullah, Mehreen Fiza, Ilyas Khan, Abdullah Mohamed and Abd Allah A. Mousa
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Himayat Ullah Jan: Department of Mathematics, Abdul Wali Khan University Mardan, Mardan, Khyber Pakhtunkhwa 23200, Pakistan
Hakeem Ullah: Department of Mathematics, Abdul Wali Khan University Mardan, Mardan, Khyber Pakhtunkhwa 23200, Pakistan
Mehreen Fiza: Department of Mathematics, Abdul Wali Khan University Mardan, Mardan, Khyber Pakhtunkhwa 23200, Pakistan
Ilyas Khan: Department of Mathematics, College of Science Al-Zulfi, Majmaah University, Al Majma’ah 11952, Saudi Arabia
Abdullah Mohamed: Research Centre, Future University in Egypt, New Cairo 11835, Egypt
Abd Allah A. Mousa: Department of Mathematics and Statistics, College of Science, Taif University, Taif, Saudi Arabia5Department of Basic Engineering Science, Faculty of Engineering, Menofia University, Shibin El-Kom, Egypt

FRACTALS (fractals), 2023, vol. 31, issue 02, 1-19

Abstract: In this paper, we introduce a new method to create a series solution to the time-fractional Navier–Stokes equations using a combination of the Laplace transform with the optimal homotopy asymptotic method. Caputo’s derivative was applied in the present technique. Three test problems are carried out to validate and demonstrate the method’s efficacy. The system has been found to be a very reliable, effective and powerful technique for solving the proposed model as well as a variety of engineering and science problems.

Keywords: Navier–Stokes Equations; Optimal Homotopy Asymptotic Method; Laplace Transformation; Caputo’s Derivative; Analytical Solutions (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1142/S0218348X23400212

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