In this study, a new computing model by developing the strength of feed-forward neural
networks with Levenberg-Marquardt Method (NN-BLMM) based backpropagation is used to …

In this paper, a new analytical technique, namely the optimal perturbation iteration method,
is presented and applied to delay differential equations to find an efficient algorithm for their …

Lane-Emden type equations are nonlinear differential equations which represent many
scientific phenomena in astrophysics and mathematical physics. In this study, a new analytic …

In this paper, we introduce the new optimal perturbation iteration method based on the
perturbation iteration algorithms for the approximate solutions of nonlinear differential …

In this paper, we compare optimal homotopy asymptotic method and perturbation-iteration
method to solve random nonlinear differential equations. Both of these methods are known …

The main aim and contribution of the current paper is to implement a semi-analytical iterative
method suggested by Temimi and Ansari in 2011 namely (TAM) to solve two chemical …

In this article, a framework is developed to get more approximate solutions to nonlinear
partial differential equations by applying perturbation iteration technique. This technique is …

In this study, we propose a different approach of the newly developed perturbation iteration
method to analyze its convergence properties when solving nonlinear equations. Our main …

In this paper, we apply a new modification of the Adomian decomposition method for solving
the problem of boundary layer convective heat transfer with viscous dissipation and low …

In this paper, a new analysis of nonlinear modified Boussinesq-Burger equation is revisited
via optimal perturbation iteration technique. We first consider artificial parameters and …