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On the convergence of Adomian decomposition method. (English) Zbl 1111.65062

The paper is concerned with a method for the computation of the rate of convergence of solutions obtained by Adomian’s decomposition method (ADM) and a modified version of ADM. The basic idea is to compare the ratios of successive terms in the series obtained using ADM and to use this information to derive insight into the convergence rate of the series.

MSC:

65L05 Numerical methods for initial value problems involving ordinary differential equations
34A34 Nonlinear ordinary differential equations and systems
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References:

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