HPLTM for numerical simulation of multi-dimensional, time-fractional model of NavierñStokes equation
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Date
2024-06-11
Journal Title
Journal ISSN
Volume Title
Publisher
MOHAMED BOUDIAF UNIVERSITY -MíSILA, Faculty of Mathematics and Computer Science, Department of Mathematics
Abstract
In this work, approximate solution of time-fractional order multi-dimensional
Navier-Stokes equation is obtained by adopting a semi-analytical scheme:
"Homotopy perturbation Laplace transform Method (HPLTM)". Tow test problems
are carried out in order to validate and illustrate the efficiency of the method. The
scheme is found to be very reliable, effective and efficient powerful technique to solve
wide range of problems arising in engineering and sciences. The small size of
computation contrary to the other schemes.
Description
Keywords
Navier--Stokes equation, Caputo time-fractional derivative, HPLTM, Mittag--Leffler function