English

Taylor Series for Adomian Decomposition Method

Exactly Solvable and Integrable Systems 2013-11-25 v1 Analysis of PDEs

Abstract

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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Cite

@article{arxiv.1104.1795,
  title  = {Taylor Series for Adomian Decomposition Method},
  author = {Ekaterina Kutafina},
  journal= {arXiv preprint arXiv:1104.1795},
  year   = {2013}
}

Comments

9 pages

R2 v1 2026-06-21T17:52:01.035Z