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Improved Adomian decomposition method [PDF]

Computers and Mathematics With Applications, 2010
In this paper a new treatment for the Adomian decomposition method (ADM) is introduced. The new treatment is called the improved Adomian decomposition method (IADM) which improves the results obtained from the known Adomian decomposition method.
Tamer Abassy
exaly   +2 more sources

Modified Adomian Decomposition Method for Van der Pol equations [PDF]

International Journal of Non-Linear Mechanics, 2014
In the paper, the well known Adomian Decomposition Method (ADM) is modified to solve the parabolic equations. The present method is quite different than the numerical method. The results are compared with the existing exact or analytical method.
B K Raghu Prasad
exaly   +2 more sources

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A new modification of the Adomian decomposition method for linear and nonlinear operators

Applied Mathematics and Computation, 2001
Abdul-Majid Wazwaz, Salah M El-Sayed
exaly  

A reliable modification of Adomian decomposition method

Applied Mathematics and Computation, 1999
Abdul-Majid Wazwaz
exaly  

A new improved Adomian decomposition method and its application to fractional differential equations

Applied Mathematical Modelling, 2013
Lina Song
exaly  

On the convergence of Adomian decomposition method

Applied Mathematics and Computation, 2006
M M Hosseini
exaly  

Numerical solutions of the integral equations: Homotopy perturbation method and Adomian’s decomposition method

Applied Mathematics and Computation, 2006
Saeid Abbasbandy
exaly  

An approximate solution of a nonlinear fractional differential equation by Adomian decomposition method

Applied Mathematics and Computation, 2005
S Saha Ray
exaly  

The Adomian decomposition method for solving partial differential equations of fractal order in finite domains

Physics Letters, Section A: General, Atomic and Solid State Physics, 2006
A M A El-Sayed
exaly