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New ideas for proving convergence of decomposition methods. (English) Zbl 0832.47051
Summary: We give new formulae which calculate easily the Adomian’s polynomials used in decomposition methods. Then, the proof of convergence of the Adomian’s technique becomes almost obvious by using a weak hypothesis on the nonlinear operator of the functional equation.

47J05 Equations involving nonlinear operators (general)
Full Text: DOI
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