The Analysis of the Fractional-Order Navier-Stokes Equations by a Novel Approach
E. M. Elsayed, Rasool Shah, Kamsing Nonlaopon
Abstract
This article introduces modified semianalytical methods, namely, the Shehu decomposition method and q-homotopy analysis transform method, a combination of decomposition method, the q-homotopy analysis method, and the Shehu transform method to provide an approximate method analytical solution to fractional-order Navier-Stokes equations. Navier-Stokes equations are widely applied as models for spatial effects in biology, ecology, and applied sciences. A good agreement between the exact and obtained solutions shows the accuracy and efficiency of the present techniques. These results reveal that the suggested methods are straightforward and effective for engineering sciences models.
Topics & Concepts
Homotopy analysis methodHomotopyApplied mathematicsDecompositionMathematicsDecomposition method (queueing theory)Order (exchange)Adomian decomposition methodHomotopy perturbation methodNavier–Stokes equationsComputer scienceMathematical optimizationMathematical analysisPartial differential equationPhysicsEcologyStatisticsPure mathematicsBiologyCompressibilityThermodynamicsFinanceEconomicsFractional Differential Equations SolutionsIterative Methods for Nonlinear Equations