Analytical Solutions of the Navier-Stokes Model by He's Polynomials

Unlike classical techniques, the homotopy perturbation method leads to an analytical approximate and exact solutions of the nonlinear equations easily and

keywords : generalized Navier-Stokes equations, pseudo-plastic fluids, finite volume methods, admissible primal-dual mesh, discrete derivatives operators, discrete Hodge formula..

Keywords: Painlev´e transcendent; new homotopy perturbation method (NHPM); differential equation; nonlinear equations..

Numerical Solution of Fractional Differen- tial Equations with a Collocation Method Based on Müntz Polynomials, Computers and Mathematics with Applications, 62(3),

Nonlinear Vibration; Nonlinear Response; Analytical Meth- ods ;Parameter Perturbation Method (PPM) ; Variational Iteration Method(VIM);Homotopy Perturbation Method (HPM);

An efficient Newton-type method with fifth-order convergence for solving nonlinear equations.. LIANG FANG 1 , 2 , LI SUN 2 and GUOPING HE 2

This method is one of the most direct and effective algebraic methods for finding exact solutions of nonlinear fractional partial differential equations (FPDEs). This method consists

As shown for two-dimensional stagnation point flow, arbitrary estimation of the value of f ′′ (0) can lead to results for the Nachtsheim-Swigert iteration deriva- tives, which do