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

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...

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Bibliographic Details
Main Authors: Lokesh Kumar Yadav, Garima Agarwal
Format: Article
Language:English
Published: ATNAA 2022-02-01
Series:Advances in the Theory of Nonlinear Analysis and its Applications
Subjects:
Online Access:https://dergipark.org.tr/tr/download/article-file/1832901
Description
Summary: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.
ISSN:2587-2648