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

Abstract

In this article, a hybrid method called iteration Shehu transform method has been implemented to solve fractional-order NavierâStokes 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 eectiveness and accuracy of the proposed method by comparison of analytical solutions to the exact solutions and the results are represented graphically and numerically.

Analytical Solutions to Two-Dimensional Nonlinear Telegraph Equations Using the Conformable Triple Laplace Transform Iterative Method

“…The iterative strategy employed in this method produces a series that can be summed to obtain an analytical formula or utilized to construct an appropriate approximation with a faster convergent series solution [42,43]. The approximation error can be reduced by properly truncating the series [44]. Recently, the NIM is combined with other known methods like the Sumudu transform method and Laplace transform method to obtain the approximate or exact solution of the nonlinear partial differential equation.…”