[PDF][PDF] A review of the Adomian decomposition method and its applications to fractional differential equations

JS Duan, R Rach, D Baleanu… - … in Fractional Calculus, 2012 - academia.edu
In this article we review the Adomian decomposition method (ADM) and its modifications
including different modified and parametrized recursion schemes, the multistage ADM for …

[HTML][HTML] MHD flow of a Casson fluid over an exponentially shrinking sheet

S Nadeem, RU Haq, C Lee - Scientia Iranica, 2012 - Elsevier
The magnetohydrodynamic (MHD) boundary layer flow of a Casson fluid over an
exponentially permeable shrinking sheet has been investigated. The analytical solution …

[HTML][HTML] Variational iteration method: new development and applications

JH He, XH Wu - Computers & Mathematics with Applications, 2007 - Elsevier
Variational iteration method has been favourably applied to various kinds of nonlinear
problems. The main property of the method is in its flexibility and ability to solve nonlinear …

Investigation of squeezing unsteady nanofluid flow using ADM

M Sheikholeslami, DD Ganji, HR Ashorynejad - Powder Technology, 2013 - Elsevier
In this paper, the unsteady flow of a nanofluid squeezing between two parallel plates is
investigated. The Adomian Decomposition Method (ADM) is used to solve this problem. The …

Analytical investigation of Jeffery-Hamel flow with high magnetic field and nanoparticle by Adomian decomposition method

M Sheikholeslami, DD Ganji, HR Ashorynejad… - Applied Mathematics …, 2012 - Springer
In this study, the effects of magnetic field and nanoparticle on the Jeffery-Hamel flow are
studied using a powerful analytical method called the Adomian decomposition method …

Flow and heat transfer of MHD nanofluid between parallel plates in the presence of thermal radiation

AS Dogonchi, K Divsalar, DD Ganji - Computer Methods in Applied …, 2016 - Elsevier
In this paper, the unsteady squeezing flow and heat transfer of MHD nanofluid between the
infinite parallel plates with thermal radiation effect is investigated. A similarity transformation …

Numerical methods for fourth-order fractional integro-differential equations

S Momani, MA Noor - Applied Mathematics and Computation, 2006 - Elsevier
This paper outlines a reliable strategy for solving linear and nonlinear boundary value
problems for fourth-order fractional integro-differential equations. The fractional derivative is …

Large deflection of cantilever beams with geometric non-linearity: Analytical and numerical approaches

A Banerjee, B Bhattacharya, AK Mallik - International Journal of Non-Linear …, 2008 - Elsevier
Non-linear shooting and Adomian decomposition methods have been proposed to
determine the large deflection of a cantilever beam under arbitrary loading conditions …

[HTML][HTML] Solving the generalized Burgers–Huxley equation using the Adomian decomposition method

I Hashim, MSM Noorani, MRS Al-Hadidi - Mathematical and Computer …, 2006 - Elsevier
In this paper, a convergence proof of the Adomian decomposition method (ADM) applied to
the generalized nonlinear Burgers–Huxley equation is presented. The decomposition …

[HTML][HTML] A new analytical and numerical treatment for singular two-point boundary value problems via the Adomian decomposition method

A Ebaid - Journal of computational and applied mathematics, 2011 - Elsevier
Based on the Adomian decomposition method, a new analytical and numerical treatment is
introduced in this research to investigate linear and non-linear singular two-point BVPs. The …