Taylor Series for Adomian Decomposition Method

Details Taylor Series for Adomian Decomposition Method Taylor Series for Adomian Decomposition Method

2011-04-10

arxiv.org/abs/1104.1795v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

9 pages

Scientific paper

In the paper we analyse the exact solutions to scalar PDEs obtained thanks to
summable Taylor series provided by Adomian's decomposition method. We propose
the modification of the method which makes the calculations of Taylor
coefficients easier and more direct. The difference is essential for instance
in case of nonautonomous equations and is illustrated by some exampl

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