Convenient analytic recurrence algorithms for the Adomian polynomials (Q632864)

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scientific article; zbMATH DE number 5870898
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Convenient analytic recurrence algorithms for the Adomian polynomials
scientific article; zbMATH DE number 5870898

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    Convenient analytic recurrence algorithms for the Adomian polynomials (English)
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    28 March 2011
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    Four analytic recurrence algorithms for multivariable Adomian polynomials are presented. Four simplified results for one-variable Adomian polynomials are deduced as special cases. These algorithms are comprised of simple, orderly and recurrence formulas, which do not require time-intensive operations such as expanding, regrouping, parametrization, and so on. They are straightforward to implement in any symbolic software.
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    Adomian polynomials
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    Adomian decomposition method
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    nonlinear operator
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    differential equation
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    \texttt{MATHEMATICA}
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    recurrence algorithms
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    symbolic software
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