Homotopy Transforms Analysis Method for Solving Fractional Navier- Stokes Equations with Applications
Eman Mohmmed Nemah
Abstract
The presented work includes the Homotopy Transforms of Analysis Method (HTAM). By this method, the approximate solution of nonlinear Navier- Stokes equations of fractional order derivative was obtained. The Caputo's derivative was used in the proposed method. The desired solution was calculated by using the convergent power series to the components. The obtained results are demonstrated by comparison with the results of Adomain decomposition method, Homotopy Analysis method and exact solution, as explained in examples (4.1) and (4.2). The comparison shows that the used method is powerful and efficient.
Topics & Concepts
Homotopy analysis methodAdomian decomposition methodMathematicsFractional calculusDerivative (finance)Nonlinear systemHomotopyConvergent seriesDecomposition method (queueing theory)Homotopy perturbation methodApplied mathematicsMathematical analysisPower seriesSeries (stratigraphy)Partial differential equationPure mathematicsPhysicsDiscrete mathematicsFinancial economicsPaleontologyQuantum mechanicsBiologyEconomicsFractional Differential Equations SolutionsIterative Methods for Nonlinear EquationsMathematical functions and polynomials