"Two-Hybrid Techniques Coupled with an Integral Transformation for Capu" by Rajarama Mohan Jena, Snehashish Chakraverty et al.

Progress in Fractional Differentiation & Applications

Article Title

Two-Hybrid Techniques Coupled with an Integral Transformation for Caputo Time-Fractional Navier- Stokes Equations

Authors

Rajarama Mohan Jena, Department of Mathematics, National Institute of Technology Rourkela-769008, India
Snehashish Chakraverty
Mehmet Yavuz

Author Country (or Countries)

India

Abstract

In this paper, two-hybrid techniques, namely q-homotopy analysis Elzaki transform method (q-HAETM) and iterative Elzaki transform method (IETM) have been applied to obtain the numerical solutions of time-fractional Navier-Stokes equations in polar coordinate described in the Caputo sense. q-HAETM is the combination of the homotopy analysis method and Elzaki transform method, and IETM is the combination of two reliable methods, i.e. iterative method and Elzaki transform method. Two example problems are solved, and the obtained results are compared with the solutions solved by other techniques which show the efficacy and powerfulness of the methods.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/pfda/060304

Recommended Citation

Mohan Jena, Rajarama; Chakraverty, Snehashish; and Yavuz, Mehmet (2020) "Two-Hybrid Techniques Coupled with an Integral Transformation for Caputo Time-Fractional Navier- Stokes Equations," Progress in Fractional Differentiation & Applications: Vol. 6: Iss. 3, Article 4.
DOI: http://dx.doi.org/10.18576/pfda/060304
Available at: https://digitalcommons.aaru.edu.jo/pfda/vol6/iss3/4

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