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

Authors : Mohamed ZELLAL, Kacem BELGHABA

Pages : 102-112

View : 25 | Download : 10

Publication Date : 2022-11-01

Article Type : Research Paper

Abstract :This work focuses on presenting a reliable method, called fractional homotopy perturbation transform method insert ignore into journalissuearticles values(FHPTM); to solve nonlinear Naviers Stoks equations with the Caputo type fractional derivatives. The insert ignore into journalissuearticles values(FHPTM); is a combination of Laplace transform and homotopy perturbation method insert ignore into journalissuearticles values(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