We show that the Adomian decomposition method proposed by Ke et al [ANZIAM J. \textbf{59} (2018) 349] is just the Taylor series approach in disguise. The latter approach is simpler, more straightforward and yields a recurrence relation free from integrals.
@article{arxiv.2108.05747,
title = {Comment on "An appropriate approach to pricing european-style options with the Adomian decomposition method"},
author = {Francisco M. Fernández},
journal= {arXiv preprint arXiv:2108.05747},
year = {2021}
}