A Computational Method for the Time-Fractional Navier-Stokes Equation

İnci Çilingir Süngü; Hüseyin Demir

doi:10.17776/csj.384509

TR EN

A Computational Method for the Time-Fractional Navier-Stokes Equation

Abstract

In this study, Navier-Stokes equations with fractional derivate are solved according to time variable. To solve these equations, hybrid generalized differential transformation and finite difference methods are used in various subdomains. The aim of this hybridization is to combine the stability of the difference method and simplicity of the differential transformation method in use. It has been observed that the computational intensity of complex calculations is reduced and also discontinuity due to initial conditions can be overcome when the size increased in the study. The convergence of the time-dependent series solution is ensured by multi-time-stepping method. This study has shown that the hybridization method is effective, reliable and easy to apply for solving such type of equations.

2010 Mathematics Subject Classification: 35Q30, 35R11, 65M06, 65N55.

Keywords

Hybrid Differential Transform/Finite Difference Method,Numerical solution,Time-Fractional Navier-Stokes Equations

References

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Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

İnci Çilingir Süngü ^*
0000-0001-7788-181X
Türkiye

Hüseyin Demir
0000-0002-3552-0511
Türkiye

Publication Date

December 24, 2018

Submission Date

January 26, 2018

Acceptance Date

November 23, 2018

Published in Issue

Year 2018 Volume: 39 Number: 4

DOI

https://doi.org/10.17776/csj.384509

IZ

https://izlik.org/JA68UX35CA

APA

Çilingir Süngü, İ., & Demir, H. (2018). A Computational Method for the Time-Fractional Navier-Stokes Equation. Cumhuriyet Science Journal, 39(4), 900-911. https://doi.org/10.17776/csj.384509

AMA

1.Çilingir Süngü İ, Demir H. A Computational Method for the Time-Fractional Navier-Stokes Equation. CSJ. 2018;39(4):900-911. doi:10.17776/csj.384509

Chicago

Çilingir Süngü, İnci, and Hüseyin Demir. 2018. “A Computational Method for the Time-Fractional Navier-Stokes Equation”. Cumhuriyet Science Journal 39 (4): 900-911. https://doi.org/10.17776/csj.384509.

EndNote

Çilingir Süngü İ, Demir H (December 1, 2018) A Computational Method for the Time-Fractional Navier-Stokes Equation. Cumhuriyet Science Journal 39 4 900–911.

IEEE

[1]İ. Çilingir Süngü and H. Demir, “A Computational Method for the Time-Fractional Navier-Stokes Equation”, CSJ, vol. 39, no. 4, pp. 900–911, Dec. 2018, doi: 10.17776/csj.384509.

ISNAD

Çilingir Süngü, İnci - Demir, Hüseyin. “A Computational Method for the Time-Fractional Navier-Stokes Equation”. Cumhuriyet Science Journal 39/4 (December 1, 2018): 900-911. https://doi.org/10.17776/csj.384509.

JAMA

1.Çilingir Süngü İ, Demir H. A Computational Method for the Time-Fractional Navier-Stokes Equation. CSJ. 2018;39:900–911.

MLA

Çilingir Süngü, İnci, and Hüseyin Demir. “A Computational Method for the Time-Fractional Navier-Stokes Equation”. Cumhuriyet Science Journal, vol. 39, no. 4, Dec. 2018, pp. 900-11, doi:10.17776/csj.384509.

Vancouver

1.İnci Çilingir Süngü, Hüseyin Demir. A Computational Method for the Time-Fractional Navier-Stokes Equation. CSJ. 2018 Dec. 1;39(4):900-11. doi:10.17776/csj.384509

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A Computational Method for the Time-Fractional Navier-Stokes Equation

Zaman Değişkeninde Kesirli Türev İçeren Navier-Stokes Denklemlerinin Sayısal Çözümü

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A Computational Method for the Time-Fractional Navier-Stokes Equation

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