M. M. Rashidi

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Third grade fluid Couette flow Poiseuille flow Couette–Poiseuille flow Multi-step differential transform method (MDTM) a b s t r a c t In this paper, the multi-step differential transform method (MDTM), one of the most effective method, is implemented to compute an approximate solution of the system of nonlinear differential equations governing the problem.(More)
In this study, a reliable algorithm to develop approximate solutions for the problem of fluid flow over a stretching or shrinking sheet is proposed. It is depicted that the differential transform method (DTM) solutions are only valid for small values of the independent variable. The DTM solutions diverge for some differential equations that extremely have(More)
a r t i c l e i n f o a b s t r a c t Keywords: Differential transform method (DTM) Burgers' equation Nonlinear differential equation Homotopy analysis method (HAM) Fin In this study, we present a numerical comparison between the differential transform method (DTM) and the homotopy analysis method (HAM) for solving Burgers' and nonlinear heat transfer(More)
In this paper, the semi-numerical techniques known as the optimal homotopy analysis method (HAM) and Differential Transform Method (DTM) are applied to study the magneto-hemodynamic laminar viscous flow of a conducting physiological fluid in a semi-porous channel under a transverse magnetic field. The two-dimensional momentum conservation partial(More)
—In this paper, a novel analytical method (DTM-Padé) is proposed for solving nonlinear differential equations, especially for boundary-layer and natural convection problems. This method is based on combination of the differential transform method and the Padé approximant that we use for solve the thermal boundary-layer over a flat plate with a convective(More)
In this study, a comparison among three semi-analytical numerical integration algorithms for solving stiff ODE systems is presented. The algorithms are based on Differential Transform Method (DTM) which are Multiple-Step DTM (MsDTM), Enhanced MsDTM (E-MsDTM) and MsDTM with Padé approximants (MsDTM-P). These methods can be classified as explicit one step(More)