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CMA
2010
183views more  CMA 2010»
13 years 9 months ago
Improved Adomian decomposition method
: The Adomian Decomposition Method (ADM) shows a very good ability in dealing with nonlinear differential equations but it is still have some drawbacks. In this paper, it is shown ...
Tamer A. Abassy
AMC
2005
195views more  AMC 2005»
13 years 11 months ago
A new symbolic computational approach to singular initial value problems in the second-order ordinary differential equations
This paper presents a new symbolic algorithm to compute the singular initial value problem of second-order ordinary differential equations using Adomian decomposition method. The ...
Onur Kiymaz, Seref Mirasyedioglu
AMC
2007
156views more  AMC 2007»
13 years 11 months ago
Derivation of the Adomian decomposition method using the homotopy analysis method
Adomian decomposition method has been used intensively to solve nonlinear boundary and initial value problems. It has been proved to be very efficient in generating series solutio...
Fathi M. Allan