Araştırma Makalesi

An application of the iterative method to study multi-dimensional fractional order Navier-Stokes equations

Cilt: 6 Sayı: 2 30 Haziran 2022
PDF İndir
EN

An application of the iterative method to study multi-dimensional fractional order Navier-Stokes equations

Öz

In this article, a hybrid method called iteration Shehu transform method has been implemented to solve fractional-order Navier–Stokes equation. Atangana-Balenu operator describes fractional-order derivatives. The analytical solutions of three distinct examples of the time- fractional Navier-Stokes equations are determined by using Iterative shehu transform method. Further, we present the effectiveness and accuracy of the proposed method by comparison of analytical solutions to the exact solutions and the results are represented graphically and numerically.

Anahtar Kelimeler

Kaynakça

  1. [1] A. Ali, K. Shah, R.A. Khan, Numerical treatment for traveling wave solutions of fractional Whitham-Broer-Kaup equations, Alexandria Eng. J. 57 (3) (2018) 1991-1998.
  2. [2] F. Haq, K. Shah, G. ur Rahman, M. Shahzad, Numerical solution of fractional order smoking model via laplace Adomian decomposition method, Alexandria Eng. J. 57 (2) (2018) 1061- 1069.
  3. [3] R. Shah, H. Khan, D. Baleanu, P. Kumam, M. Arif, A novel method for the analytical solution of fractional Zakharov- Kuznetsov equations, Adv. Diff. Eqs. 2019 (1) (2019) 1-14.
  4. [4] J. Singh, D. Kumar, R. Swroop, Numerical solution of time-and space-fractional coupled Burgers' equations via homotopy algorithm, Alexandria Eng. J. 55 (2) (2016) 1753-1763.
  5. [5] A. Kilicman, R. Shokhanda, P. Goswami,On the solution of (n+1)-dimensional fractional M-Burgers equation, Alexandria Eng. J. 60 (2014) 1165-1172.
  6. [6] Y. Meng, Y. Zhang, Numerical analysis on gas lubrication of microsliders with a modi?ed Navier-Stokes equation ,Digest APMRC. IEEE (2012) 1-2.
  7. [7] P.D. Christo?des, A. Armaou, Nonlinear control of navier-stokes equations, American Control Conference. ACC (IEEE Cat. No. 98CH36207) 3 (2012) 1355-1359.
  8. [8] A. Goswami, J. Singh, D. Kumar, S. Gupta, An eficient analytical technique for fractional partial differential equations occurring in ion acoustic waves in plasma, J. Ocean Eng. Sci. 4 (2) (2019) 85-99.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Matematik

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

30 Haziran 2022

Gönderilme Tarihi

21 Haziran 2021

Kabul Tarihi

26 Kasım 2021

Yayımlandığı Sayı

Yıl 2022 Cilt: 6 Sayı: 2

Kaynak Göster

APA
Yadav, L. K., & Agarwal, G. (2022). An application of the iterative method to study multi-dimensional fractional order Navier-Stokes equations. Advances in the Theory of Nonlinear Analysis and its Application, 6(2), 202-216. https://doi.org/10.31197/atnaa.954736
AMA
1.Yadav LK, Agarwal G. An application of the iterative method to study multi-dimensional fractional order Navier-Stokes equations. ATNAA. 2022;6(2):202-216. doi:10.31197/atnaa.954736
Chicago
Yadav, Lokesh Kumar, ve Garima Agarwal. 2022. “An application of the iterative method to study multi-dimensional fractional order Navier-Stokes equations”. Advances in the Theory of Nonlinear Analysis and its Application 6 (2): 202-16. https://doi.org/10.31197/atnaa.954736.
EndNote
Yadav LK, Agarwal G (01 Haziran 2022) An application of the iterative method to study multi-dimensional fractional order Navier-Stokes equations. Advances in the Theory of Nonlinear Analysis and its Application 6 2 202–216.
IEEE
[1]L. K. Yadav ve G. Agarwal, “An application of the iterative method to study multi-dimensional fractional order Navier-Stokes equations”, ATNAA, c. 6, sy 2, ss. 202–216, Haz. 2022, doi: 10.31197/atnaa.954736.
ISNAD
Yadav, Lokesh Kumar - Agarwal, Garima. “An application of the iterative method to study multi-dimensional fractional order Navier-Stokes equations”. Advances in the Theory of Nonlinear Analysis and its Application 6/2 (01 Haziran 2022): 202-216. https://doi.org/10.31197/atnaa.954736.
JAMA
1.Yadav LK, Agarwal G. An application of the iterative method to study multi-dimensional fractional order Navier-Stokes equations. ATNAA. 2022;6:202–216.
MLA
Yadav, Lokesh Kumar, ve Garima Agarwal. “An application of the iterative method to study multi-dimensional fractional order Navier-Stokes equations”. Advances in the Theory of Nonlinear Analysis and its Application, c. 6, sy 2, Haziran 2022, ss. 202-16, doi:10.31197/atnaa.954736.
Vancouver
1.Lokesh Kumar Yadav, Garima Agarwal. An application of the iterative method to study multi-dimensional fractional order Navier-Stokes equations. ATNAA. 01 Haziran 2022;6(2):202-16. doi:10.31197/atnaa.954736