In this paper, an efficient modification of Adomian decomposition method is introduced for solving second order ordinary differential equations. The proposed method can be applied to singular and nonsingular problems. The scheme is tested for some examples and the obtained results demonstrate efficiency of the proposed method. 2006 Elsevier Inc. All rights reserved.

In this paper, we propose few numerical algorithms for minimization of unconstrained non-linear functions by using Modified homotopy perturbation method and the another new algorithm based on Modified Adomian decomposition method. Then comparative study among the seven new algorithms and Newton’s algorithm is established by means of examples.

This work is an analytical study of unsteady thin film third grade fluid. The governing non linear partial differential equation has been solved analytically by Adomian Decomposition Method (ADM). The effect of model parameters on velocity profile have been plotted and discussed numerically as well as graphically.

In this paper an efficient modification of the Adomian decomposition method is presented by using Chebyshev polynomials. The proposed method can be applied to linear and non-linear models. The scheme is tested for some examples and the obtained results demonstrate reliability and efficiency of the proposed method. 2005 Elsevier Inc. All rights reserved.

In this paper, we consider Adomian Decomposition Method (ADM),and Variational Iteration Method (VIM), Homotopy Analysis Method (HAM), Homotopy Analysis Transform Method (HATM) to solve the FractionalOrder Logistic Equation (FOLE). Comparisons between the approximate analytical solution and exact solution of FOLE are shown. 2010 Mathematics Subject Classication: 34-XX , 34Lxx ,34L30

Nonlinear partial diferential equations are a class of partial diferential equations having many important uses in engineering and sciences. In this work we display a comparison between Adomian Decomposition Method (ADM) and Differential Quadrature Method (DQM) for solving some nonlinear partial diferential equations. We found the existence of exact solutions for those models. The numerical res...

a new modified adomian decomposition method (adm) is utilized to obtain an analytical solution for buckling of the nanocantilever actuators immersed in liquid electrolytes. the nanoactuators in electrolytes are subject to different nonlinear forces including ionic concentration, van der waals, external voltage and electrochemical forces. the duan–rach modified adomian decomposition method is ut...

In this article, we study the fractional SIR epidemic model with Atangana–Baleanu–Caputo operator. We explore properties and applicability of ZZ transformation on operator as transform derivative. This is an application two power methods. obtain a special solution homotopy perturbation method (HPM) combined scheme; then present problem existence solution, also apply new to solving ABC The solut...

A new algorithm is presented for solving Troesch’s problem. The numerical scheme based on the sinc-collocation technique is deduced. The equation is reduced to systems of nonlinear algebraic equations. Some numerical experiments are made. Compared with the modified homotopy perturbation technique (MHP), the variational iteration method and the Adomian decomposition method. It is shown that the ...