Improved Adomian decomposition method

Authors:
Tamer A. Abassy
Affiliations:
Department of Scientific Computing, Faculty of Computers and Informatics, Benha University, Benha 13518, Egypt and Department of Mathematics, Faculty of Arts and Science in Wadi Addwasir, King Sau ...
Venue:
Computers & Mathematics with Applications
Year:
2010

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Abstract

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. The improved Adomian decomposition method is applied for the analytic treatment of nonlinear initial value problems. The improved method accelerates the convergence of the series solution, and provides the exact power series solution. It solves the drawbacks in the standard Adomian decomposition method.