Convergence accelerating in the homotopy analysis method: a new approach

M Turkyilmazoglu - Advances in Applied Mathematics and …, 2018 - avesis.hacettepe.edu.tr
One of the flash analytic approximate methods of nowadays for the solution of highly
nonlinear algebraic or differential equations arising from the mathematical modelling of …

[PDF][PDF] Homotopy simulation of non-Newtonian Spriggs fluid flow over a flat plate with oscillating motion

AK Ray, RSR Gorla, B Vasu - 2019 - zbc.uz.zgora.pl
An incompressible flow of a non-Newtonian Spriggs fluid over an unsteady oscillating plate
is investigated using the Homotopy Analysis Method (HAM). An analytic solution of sine and …

[PDF][PDF] An efficient optimal fourth-order iterative method for scalar equations

F Ali, W Aslam, GA Nadeem - Italian Journal of Pure and Applied … - ijpam.uniud.it
In the present paper, using linear combination technique, we introduce an optimal three-step
iterative scheme for solving nonlinear equations. We prove the convergence of the proposed …

On computing differential transform of nonlinear non-autonomous functions and its applications

E El-Zahar, A Ebaid - arXiv preprint arXiv:1612.08470, 2016 - arxiv.org
Although being powerful, the differential transform method yet suffers from a drawback which
is how to compute the differential transform of nonlinear non-autonomous functions that can …