HAM and HPM: Another attack to reason

TL;DR

This paper critically evaluates two recent applications of homotopy analysis and perturbation methods, concluding that their results lack mathematical rigor and physical relevance.

Contribution

It provides a critical assessment showing that the recent applications of HAM and HPM are fundamentally flawed and not useful.

Findings

Results are mathematically invalid

Results lack physical significance

Methods do not produce meaningful solutions

Abstract

We discuss two recent applications of homotopy analysis method and homotopy perturbation method and conclude that the results are completely useless from both mathematical and physical points of view.