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Modification Of Optimal Homotopy Asymptotic Method For Multi-Dimensional Time-Fractional Model Of Navier–Stokes Equation

Author

Listed:
  • 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)

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.

Suggested Citation

  • Himayat Ullah Jan & Hakeem Ullah & Mehreen Fiza & Ilyas Khan & Abdullah Mohamed & Abd Allah A. Mousa, 2023. "Modification Of Optimal Homotopy Asymptotic Method For Multi-Dimensional Time-Fractional Model Of Navier–Stokes Equation," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 31(02), pages 1-19.
    • Handle: RePEc:wsi:fracta:v:31:y:2023:i:02:n:s0218348x23400212
    DOI: 10.1142/S0218348X23400212
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