New method for calculating Adomian polynomials. (English) Zbl 1055.65068

The Adomian method is used for solving nonlinear functional equations without discretization or linearization. This technique allows to obtain analytical solutions explicitly depending on time and state variables. The method is based on the calculus of special polynomials (called Adomian polynomials) and the authors give an original technique for obtaining these polynomials in a recurrent and simple way. This involves a routine derivation very similar to those for ordinary functions.


65J15 Numerical solutions to equations with nonlinear operators
47J05 Equations involving nonlinear operators (general)
65Q05 Numerical methods for functional equations (MSC2000)
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