TAYLOR SERIES FOR ADOMIAN DECOMPOSITION METHOD

Ekaterina Kutafina (1)

1 Faculty of Applied Mathematics

In this paper we analyze the exact solutions to scalar PDEs obtained thanks to summable Taylor series provided by Adomian's decomposition method. We propose a modification of the method which makes the calculations of Taylor coefficients easier and more direct. The difference is essential for instance in case of non-homogenous equations or initial conditions and is illustrated by some examples.

Mots clés: Physical Sciences

Domaines: Informatique [cs]

Ekaterina Kutafina. TAYLOR SERIES FOR ADOMIAN DECOMPOSITION METHOD. International Journal of Computer Mathematics, 2011, pp.1. ⟨10.1080/00207160.2011.611880⟩. ⟨hal-00739202⟩