Approximate Solutions to Fractional Multi-Dimensional Navier-Stokes Equation Using the (FHPTM)

Year 2022, Volume: 19 Issue: 2, 102 - 112, 01.11.2022

Mohamed Zellal , Kacem Belghaba

Abstract

This work focuses on presenting a reliable method, called fractional homotopy perturbation transform method (FHPTM) to solve nonlinear Naviers Stoks equations with the Caputo type fractional derivatives. The (FHPTM) is a combination of Laplace transform and homotopy perturbation method (He -Laplace method). He’s polynomial is used to simplify the nonlinearity which arise in our considered equation. Furthermore, three numerical examples are presented, it is supported by graphs and tables to compare solutions with little computational effort, which confirms the effectiveness and accuracy of the current method.

Keywords

Fractional derivative in Caputo sence, Laplace transform, FHPTM, Mittag Leffler func- tion., Navier Stokes Equations

Thanks

The authors are, sincerely, very grateful to the editor and the entire staff of the journal, best wishes for your noble mission.

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