This paper compares the variational iteration method (VIM) with the Adomian decomposition method (ADM) for solving nonlinear integrodifferential equations. From the computational viewpoint, the VIM is more efficient, convenient and easy to use.

Here, a simple method to determine the rate of convergence of Adomian decomposition method is introduced. The proposed method is used to compare between the rate of convergence of standard and modified (proposed by Wazwaz [A.M. Wazwaz, A new method for solving singular initial value problems in the second-order ordinary differential equations, Appl. Math. Comput. 128 (2002) 45–57]) Adomian meth...

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, Adomian decomposition sumudu transform method is introduced and used to solve the temperature distribution in a solid and porous fin with the temperature dependent internal heat generation for a fractional order energy balance equation. In this study, we assume heat generation as a variable of fin temperature for solid and porous fin and the heat transfer through porous media is ...

A new method for approximate analytic series solution called multistep Laplace Adomian Decomposition Method MLADM has been proposed for solving the model for HIV infection of CD4 T cells. The proposed method is modification of the classical Laplace Adomian Decomposition Method LADM with multistep approach. Fourth-order Runge-Kutta method RK4 is used to evaluate the effectiveness of the proposed...

In this paper we propose a powerful modi®cation of Adomian decomposition method that will accelerate the rapid convergence of the series solution. The validity of the modi®ed technique is veri®ed through illustrative examples. In all cases of di€erential and integral equations, we obtained excellent performance from the modi®ed algorithm. The modi®cation could lead to a promising approach for m...

In this paper, the new iterative method (NIM) is applied to solve nonlinear fractional gas dynamics equation. Further, a coupling of the Sumudu transform and Adomian decomposion (STADM) is used to get an approximate solution of the same problem. The results obtained by the two methods are found to be in agreement. Therefore, the NIM may be considered efficient method for finding approximate sol...