Decomposition methods: A new proof of convergence

@article{Cherruault1993DecompositionMA,
  title={Decomposition methods: A new proof of convergence},
  author={Y. Cherruault and G. Adomian},
  journal={Mathematical and Computer Modelling},
  year={1993},
  volume={18},
  pages={103-106}
}
We propose a new convergence proof of Adomian's technique based on properties of convergent series. Then we deduce some results about the speed of convergence of this method allowing us to solve nonlinear functional equations. 
Further remarks on convergence of decomposition method.
A convergence analysis of the ADM and an application
Solution of nonlinear equations by modified adomian decomposition method
A new convergence proof of the Adomian decomposition method for a mixed hyperbolic elliptic system of conservation laws
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